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Finding the Fourth Proportional to 266.30, 398.60 and 168.46

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Solution

The fourth proportional to 266.30, 398.60 and 168.46 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.30 : 398.60 = 168.46 : x
  2. Step 2: Convert to fraction form
    266.30/398.60 = 168.46/x
  3. Step 3: Cross multiply
    266.30x = 398.60 × 168.46
  4. Step 4: Simplify right side
    266.30x = 67,147.58
  5. Step 5: Solve for x
    x = 67,147.58/266.30
  6. Step 6: Final answer
    x = 252.15

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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.