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Finding the Fourth Proportional to 266.01, 398.01 and 179.55

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Solution

The fourth proportional to 266.01, 398.01 and 179.55 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.01 : 398.01 = 179.55 : x
  2. Step 2: Convert to fraction form
    266.01/398.01 = 179.55/x
  3. Step 3: Cross multiply
    266.01x = 398.01 × 179.55
  4. Step 4: Simplify right side
    266.01x = 71,462.70
  5. Step 5: Solve for x
    x = 71,462.70/266.01
  6. Step 6: Final answer
    x = 268.65

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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.