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Finding the Fourth Proportional to 162.38, 224.14 and 115.78

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Solution

The fourth proportional to 162.38, 224.14 and 115.78 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 224.14 = 115.78 : x
  2. Step 2: Convert to fraction form
    162.38/224.14 = 115.78/x
  3. Step 3: Cross multiply
    162.38x = 224.14 × 115.78
  4. Step 4: Simplify right side
    162.38x = 25,951.04
  5. Step 5: Solve for x
    x = 25,951.04/162.38
  6. Step 6: Final answer
    x = 159.82

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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.