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Finding the Fourth Proportional to 224, 337.76 and 181.76

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Solution

The fourth proportional to 224, 337.76 and 181.76 is: 274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 337.76 = 181.76 : x
  2. Step 2: Convert to fraction form
    224/337.76 = 181.76/x
  3. Step 3: Cross multiply
    224x = 337.76 × 181.76
  4. Step 4: Simplify right side
    224x = 61,391.26
  5. Step 5: Solve for x
    x = 61,391.26/224
  6. Step 6: Final answer
    x = 274.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.