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Finding the Fourth Proportional to 267.98, 402.04 and 123.72

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Solution

The fourth proportional to 267.98, 402.04 and 123.72 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.98 : 402.04 = 123.72 : x
  2. Step 2: Convert to fraction form
    267.98/402.04 = 123.72/x
  3. Step 3: Cross multiply
    267.98x = 402.04 × 123.72
  4. Step 4: Simplify right side
    267.98x = 49,740.39
  5. Step 5: Solve for x
    x = 49,740.39/267.98
  6. Step 6: Final answer
    x = 185.61

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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.