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Finding the Fourth Proportional to 166.40, 249.66 and 75.08

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Solution

The fourth proportional to 166.40, 249.66 and 75.08 is: 112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.40 : 249.66 = 75.08 : x
  2. Step 2: Convert to fraction form
    166.40/249.66 = 75.08/x
  3. Step 3: Cross multiply
    166.40x = 249.66 × 75.08
  4. Step 4: Simplify right side
    166.40x = 18,744.47
  5. Step 5: Solve for x
    x = 18,744.47/166.40
  6. Step 6: Final answer
    x = 112.65

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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.