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Finding the Fourth Proportional to 224.66, 337.42 and 170.86

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Solution

The fourth proportional to 224.66, 337.42 and 170.86 is: 256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.66 : 337.42 = 170.86 : x
  2. Step 2: Convert to fraction form
    224.66/337.42 = 170.86/x
  3. Step 3: Cross multiply
    224.66x = 337.42 × 170.86
  4. Step 4: Simplify right side
    224.66x = 57,651.58
  5. Step 5: Solve for x
    x = 57,651.58/224.66
  6. Step 6: Final answer
    x = 256.62

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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.