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Finding the Fourth Proportional to 267.40, 400.98 and 123.16

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Solution

The fourth proportional to 267.40, 400.98 and 123.16 is: 184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 400.98 = 123.16 : x
  2. Step 2: Convert to fraction form
    267.40/400.98 = 123.16/x
  3. Step 3: Cross multiply
    267.40x = 400.98 × 123.16
  4. Step 4: Simplify right side
    267.40x = 49,384.70
  5. Step 5: Solve for x
    x = 49,384.70/267.40
  6. Step 6: Final answer
    x = 184.68

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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.