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Finding the Fourth Proportional to 166.19, 249.75 and 97.74

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Solution

The fourth proportional to 166.19, 249.75 and 97.74 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.19 : 249.75 = 97.74 : x
  2. Step 2: Convert to fraction form
    166.19/249.75 = 97.74/x
  3. Step 3: Cross multiply
    166.19x = 249.75 × 97.74
  4. Step 4: Simplify right side
    166.19x = 24,410.57
  5. Step 5: Solve for x
    x = 24,410.57/166.19
  6. Step 6: Final answer
    x = 146.89

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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.