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Finding the Fourth Proportional to 267.72, 401.56 and 165.20

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Solution

The fourth proportional to 267.72, 401.56 and 165.20 is: 247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.72 : 401.56 = 165.20 : x
  2. Step 2: Convert to fraction form
    267.72/401.56 = 165.20/x
  3. Step 3: Cross multiply
    267.72x = 401.56 × 165.20
  4. Step 4: Simplify right side
    267.72x = 66,337.71
  5. Step 5: Solve for x
    x = 66,337.71/267.72
  6. Step 6: Final answer
    x = 247.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.