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Finding the Fourth Proportional to 224.50, 309.76 and 126.24

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Solution

The fourth proportional to 224.50, 309.76 and 126.24 is: 174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.50 : 309.76 = 126.24 : x
  2. Step 2: Convert to fraction form
    224.50/309.76 = 126.24/x
  3. Step 3: Cross multiply
    224.50x = 309.76 × 126.24
  4. Step 4: Simplify right side
    224.50x = 39,104.10
  5. Step 5: Solve for x
    x = 39,104.10/224.50
  6. Step 6: Final answer
    x = 174.18

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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.