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Finding the Fourth Proportional to 397.40, 596.10 and 166.55

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Solution

The fourth proportional to 397.40, 596.10 and 166.55 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.40 : 596.10 = 166.55 : x
  2. Step 2: Convert to fraction form
    397.40/596.10 = 166.55/x
  3. Step 3: Cross multiply
    397.40x = 596.10 × 166.55
  4. Step 4: Simplify right side
    397.40x = 99,280.46
  5. Step 5: Solve for x
    x = 99,280.46/397.40
  6. Step 6: Final answer
    x = 249.83

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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.