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Finding the Fourth Proportional to 261.87, 361.31 and 168.58

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Solution

The fourth proportional to 261.87, 361.31 and 168.58 is: 232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.87 : 361.31 = 168.58 : x
  2. Step 2: Convert to fraction form
    261.87/361.31 = 168.58/x
  3. Step 3: Cross multiply
    261.87x = 361.31 × 168.58
  4. Step 4: Simplify right side
    261.87x = 60,910.20
  5. Step 5: Solve for x
    x = 60,910.20/261.87
  6. Step 6: Final answer
    x = 232.60

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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.