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Finding the Fourth Proportional to 224.77, 337.34 and 116.59

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Solution

The fourth proportional to 224.77, 337.34 and 116.59 is: 174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.77 : 337.34 = 116.59 : x
  2. Step 2: Convert to fraction form
    224.77/337.34 = 116.59/x
  3. Step 3: Cross multiply
    224.77x = 337.34 × 116.59
  4. Step 4: Simplify right side
    224.77x = 39,329.89
  5. Step 5: Solve for x
    x = 39,329.89/224.77
  6. Step 6: Final answer
    x = 174.98

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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.