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Finding the Fourth Proportional to 141.44, 212.25 and 117.14

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Solution

The fourth proportional to 141.44, 212.25 and 117.14 is: 175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.44 : 212.25 = 117.14 : x
  2. Step 2: Convert to fraction form
    141.44/212.25 = 117.14/x
  3. Step 3: Cross multiply
    141.44x = 212.25 × 117.14
  4. Step 4: Simplify right side
    141.44x = 24,862.97
  5. Step 5: Solve for x
    x = 24,862.97/141.44
  6. Step 6: Final answer
    x = 175.78

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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.