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Finding the Fourth Proportional to 267.16, 400.44 and 122.58

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Solution

The fourth proportional to 267.16, 400.44 and 122.58 is: 183.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.16 : 400.44 = 122.58 : x
  2. Step 2: Convert to fraction form
    267.16/400.44 = 122.58/x
  3. Step 3: Cross multiply
    267.16x = 400.44 × 122.58
  4. Step 4: Simplify right side
    267.16x = 49,085.18
  5. Step 5: Solve for x
    x = 49,085.18/267.16
  6. Step 6: Final answer
    x = 183.73

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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.