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Finding the Fourth Proportional to 266.74, 400.24 and 112.76

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Solution

The fourth proportional to 266.74, 400.24 and 112.76 is: 169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.74 : 400.24 = 112.76 : x
  2. Step 2: Convert to fraction form
    266.74/400.24 = 112.76/x
  3. Step 3: Cross multiply
    266.74x = 400.24 × 112.76
  4. Step 4: Simplify right side
    266.74x = 45,131.06
  5. Step 5: Solve for x
    x = 45,131.06/266.74
  6. Step 6: Final answer
    x = 169.19

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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.