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Finding the Fourth Proportional to 267.48, 400.44 and 122.88

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Solution

The fourth proportional to 267.48, 400.44 and 122.88 is: 183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 400.44 = 122.88 : x
  2. Step 2: Convert to fraction form
    267.48/400.44 = 122.88/x
  3. Step 3: Cross multiply
    267.48x = 400.44 × 122.88
  4. Step 4: Simplify right side
    267.48x = 49,206.07
  5. Step 5: Solve for x
    x = 49,206.07/267.48
  6. Step 6: Final answer
    x = 183.96

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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.