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Finding the Fourth Proportional to 261.67, 360.91 and 168.43

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Solution

The fourth proportional to 261.67, 360.91 and 168.43 is: 232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.67 : 360.91 = 168.43 : x
  2. Step 2: Convert to fraction form
    261.67/360.91 = 168.43/x
  3. Step 3: Cross multiply
    261.67x = 360.91 × 168.43
  4. Step 4: Simplify right side
    261.67x = 60,785.42
  5. Step 5: Solve for x
    x = 60,785.42/261.67
  6. Step 6: Final answer
    x = 232.30

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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.