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Finding the Fourth Proportional to 266.77, 400.14 and 159.25

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Solution

The fourth proportional to 266.77, 400.14 and 159.25 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.77 : 400.14 = 159.25 : x
  2. Step 2: Convert to fraction form
    266.77/400.14 = 159.25/x
  3. Step 3: Cross multiply
    266.77x = 400.14 × 159.25
  4. Step 4: Simplify right side
    266.77x = 63,722.30
  5. Step 5: Solve for x
    x = 63,722.30/266.77
  6. Step 6: Final answer
    x = 238.87

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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.