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Finding the Fourth Proportional to 224, 309.24 and 174.76

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Solution

The fourth proportional to 224, 309.24 and 174.76 is: 241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 309.24 = 174.76 : x
  2. Step 2: Convert to fraction form
    224/309.24 = 174.76/x
  3. Step 3: Cross multiply
    224x = 309.24 × 174.76
  4. Step 4: Simplify right side
    224x = 54,042.78
  5. Step 5: Solve for x
    x = 54,042.78/224
  6. Step 6: Final answer
    x = 241.26

Related Problems

Find fourth proportional to 112, 154.62 and 87.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.