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Finding the Fourth Proportional to 224.38, 336.75 and 116.20

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Solution

The fourth proportional to 224.38, 336.75 and 116.20 is: 174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.38 : 336.75 = 116.20 : x
  2. Step 2: Convert to fraction form
    224.38/336.75 = 116.20/x
  3. Step 3: Cross multiply
    224.38x = 336.75 × 116.20
  4. Step 4: Simplify right side
    224.38x = 39,130.35
  5. Step 5: Solve for x
    x = 39,130.35/224.38
  6. Step 6: Final answer
    x = 174.39

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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.