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Finding the Fourth Proportional to 224.92, 337.65 and 144.10

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Solution

The fourth proportional to 224.92, 337.65 and 144.10 is: 216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 337.65 = 144.10 : x
  2. Step 2: Convert to fraction form
    224.92/337.65 = 144.10/x
  3. Step 3: Cross multiply
    224.92x = 337.65 × 144.10
  4. Step 4: Simplify right side
    224.92x = 48,655.37
  5. Step 5: Solve for x
    x = 48,655.37/224.92
  6. Step 6: Final answer
    x = 216.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.