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Finding the Fourth Proportional to 398.12, 596.70 and 166.89

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Solution

The fourth proportional to 398.12, 596.70 and 166.89 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.12 : 596.70 = 166.89 : x
  2. Step 2: Convert to fraction form
    398.12/596.70 = 166.89/x
  3. Step 3: Cross multiply
    398.12x = 596.70 × 166.89
  4. Step 4: Simplify right side
    398.12x = 99,583.26
  5. Step 5: Solve for x
    x = 99,583.26/398.12
  6. Step 6: Final answer
    x = 250.13

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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.