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Finding the Fourth Proportional to 267.98, 402.72 and 139.82

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Solution

The fourth proportional to 267.98, 402.72 and 139.82 is: 210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.98 : 402.72 = 139.82 : x
  2. Step 2: Convert to fraction form
    267.98/402.72 = 139.82/x
  3. Step 3: Cross multiply
    267.98x = 402.72 × 139.82
  4. Step 4: Simplify right side
    267.98x = 56,308.31
  5. Step 5: Solve for x
    x = 56,308.31/267.98
  6. Step 6: Final answer
    x = 210.12

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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.