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Finding the Fourth Proportional to 266.90, 400.28 and 112.76

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Solution

The fourth proportional to 266.90, 400.28 and 112.76 is: 169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.90 : 400.28 = 112.76 : x
  2. Step 2: Convert to fraction form
    266.90/400.28 = 112.76/x
  3. Step 3: Cross multiply
    266.90x = 400.28 × 112.76
  4. Step 4: Simplify right side
    266.90x = 45,134.51
  5. Step 5: Solve for x
    x = 45,134.51/266.90
  6. Step 6: Final answer
    x = 169.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.