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Finding the Fourth Proportional to 166.86, 249.89 and 101.91

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Solution

The fourth proportional to 166.86, 249.89 and 101.91 is: 152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 249.89 = 101.91 : x
  2. Step 2: Convert to fraction form
    166.86/249.89 = 101.91/x
  3. Step 3: Cross multiply
    166.86x = 249.89 × 101.91
  4. Step 4: Simplify right side
    166.86x = 25,465.31
  5. Step 5: Solve for x
    x = 25,465.31/166.86
  6. Step 6: Final answer
    x = 152.61

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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.