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Finding the Fourth Proportional to 267.66, 402.10 and 159.52

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Solution

The fourth proportional to 267.66, 402.10 and 159.52 is: 239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.66 : 402.10 = 159.52 : x
  2. Step 2: Convert to fraction form
    267.66/402.10 = 159.52/x
  3. Step 3: Cross multiply
    267.66x = 402.10 × 159.52
  4. Step 4: Simplify right side
    267.66x = 64,142.19
  5. Step 5: Solve for x
    x = 64,142.19/267.66
  6. Step 6: Final answer
    x = 239.64

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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.