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Finding the Fourth Proportional to 178.10, 267.42 and 159.26

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Solution

The fourth proportional to 178.10, 267.42 and 159.26 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 267.42 = 159.26 : x
  2. Step 2: Convert to fraction form
    178.10/267.42 = 159.26/x
  3. Step 3: Cross multiply
    178.10x = 267.42 × 159.26
  4. Step 4: Simplify right side
    178.10x = 42,589.31
  5. Step 5: Solve for x
    x = 42,589.31/178.10
  6. Step 6: Final answer
    x = 239.13

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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.