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Finding the Fourth Proportional to 261.27, 360.42 and 167.85

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Solution

The fourth proportional to 261.27, 360.42 and 167.85 is: 231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.27 : 360.42 = 167.85 : x
  2. Step 2: Convert to fraction form
    261.27/360.42 = 167.85/x
  3. Step 3: Cross multiply
    261.27x = 360.42 × 167.85
  4. Step 4: Simplify right side
    261.27x = 60,496.50
  5. Step 5: Solve for x
    x = 60,496.50/261.27
  6. Step 6: Final answer
    x = 231.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.