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Finding the Fourth Proportional to 150.86, 208.17 and 85.38

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Solution

The fourth proportional to 150.86, 208.17 and 85.38 is: 117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.86 : 208.17 = 85.38 : x
  2. Step 2: Convert to fraction form
    150.86/208.17 = 85.38/x
  3. Step 3: Cross multiply
    150.86x = 208.17 × 85.38
  4. Step 4: Simplify right side
    150.86x = 17,773.55
  5. Step 5: Solve for x
    x = 17,773.55/150.86
  6. Step 6: Final answer
    x = 117.82

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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.