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Finding the Fourth Proportional to 166.23, 249.48 and 97.74

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Solution

The fourth proportional to 166.23, 249.48 and 97.74 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.23 : 249.48 = 97.74 : x
  2. Step 2: Convert to fraction form
    166.23/249.48 = 97.74/x
  3. Step 3: Cross multiply
    166.23x = 249.48 × 97.74
  4. Step 4: Simplify right side
    166.23x = 24,384.18
  5. Step 5: Solve for x
    x = 24,384.18/166.23
  6. Step 6: Final answer
    x = 146.69

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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.