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Finding the Fourth Proportional to 177.85, 267.05 and 113.26

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Solution

The fourth proportional to 177.85, 267.05 and 113.26 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.85 : 267.05 = 113.26 : x
  2. Step 2: Convert to fraction form
    177.85/267.05 = 113.26/x
  3. Step 3: Cross multiply
    177.85x = 267.05 × 113.26
  4. Step 4: Simplify right side
    177.85x = 30,245.52
  5. Step 5: Solve for x
    x = 30,245.52/177.85
  6. Step 6: Final answer
    x = 170.06

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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.