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Finding the Fourth Proportional to 167.52, 250.14 and 135.12

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Solution

The fourth proportional to 167.52, 250.14 and 135.12 is: 201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.52 : 250.14 = 135.12 : x
  2. Step 2: Convert to fraction form
    167.52/250.14 = 135.12/x
  3. Step 3: Cross multiply
    167.52x = 250.14 × 135.12
  4. Step 4: Simplify right side
    167.52x = 33,798.92
  5. Step 5: Solve for x
    x = 33,798.92/167.52
  6. Step 6: Final answer
    x = 201.76

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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.