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Finding the Fourth Proportional to 166.57, 249.95 and 160.25

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Solution

The fourth proportional to 166.57, 249.95 and 160.25 is: 240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.57 : 249.95 = 160.25 : x
  2. Step 2: Convert to fraction form
    166.57/249.95 = 160.25/x
  3. Step 3: Cross multiply
    166.57x = 249.95 × 160.25
  4. Step 4: Simplify right side
    166.57x = 40,053.64
  5. Step 5: Solve for x
    x = 40,053.64/166.57
  6. Step 6: Final answer
    x = 240.46

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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.