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Finding the Fourth Proportional to 132.38, 197.47 and 117.80

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Solution

The fourth proportional to 132.38, 197.47 and 117.80 is: 175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 197.47 = 117.80 : x
  2. Step 2: Convert to fraction form
    132.38/197.47 = 117.80/x
  3. Step 3: Cross multiply
    132.38x = 197.47 × 117.80
  4. Step 4: Simplify right side
    132.38x = 23,261.97
  5. Step 5: Solve for x
    x = 23,261.97/132.38
  6. Step 6: Final answer
    x = 175.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.