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Finding the Fourth Proportional to 166.48, 249.76 and 58.27

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Solution

The fourth proportional to 166.48, 249.76 and 58.27 is: 87.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.48 : 249.76 = 58.27 : x
  2. Step 2: Convert to fraction form
    166.48/249.76 = 58.27/x
  3. Step 3: Cross multiply
    166.48x = 249.76 × 58.27
  4. Step 4: Simplify right side
    166.48x = 14,552.75
  5. Step 5: Solve for x
    x = 14,552.75/166.48
  6. Step 6: Final answer
    x = 87.42

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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.