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Finding the Fourth Proportional to 167.52, 250.86 and 150.11

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Solution

The fourth proportional to 167.52, 250.86 and 150.11 is: 224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.52 : 250.86 = 150.11 : x
  2. Step 2: Convert to fraction form
    167.52/250.86 = 150.11/x
  3. Step 3: Cross multiply
    167.52x = 250.86 × 150.11
  4. Step 4: Simplify right side
    167.52x = 37,655.34
  5. Step 5: Solve for x
    x = 37,655.34/167.52
  6. Step 6: Final answer
    x = 224.78

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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.