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Finding the Fourth Proportional to 166.61, 249.91 and 75.35

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Solution

The fourth proportional to 166.61, 249.91 and 75.35 is: 113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.61 : 249.91 = 75.35 : x
  2. Step 2: Convert to fraction form
    166.61/249.91 = 75.35/x
  3. Step 3: Cross multiply
    166.61x = 249.91 × 75.35
  4. Step 4: Simplify right side
    166.61x = 18,829.28
  5. Step 5: Solve for x
    x = 18,829.28/166.61
  6. Step 6: Final answer
    x = 113.02

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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.