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Finding the Fourth Proportional to 267.86, 402.02 and 105.66

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Solution

The fourth proportional to 267.86, 402.02 and 105.66 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.86 : 402.02 = 105.66 : x
  2. Step 2: Convert to fraction form
    267.86/402.02 = 105.66/x
  3. Step 3: Cross multiply
    267.86x = 402.02 × 105.66
  4. Step 4: Simplify right side
    267.86x = 42,476.90
  5. Step 5: Solve for x
    x = 42,476.90/267.86
  6. Step 6: Final answer
    x = 158.58

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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.