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Finding the Fourth Proportional to 261.62, 361.17 and 178.82

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Solution

The fourth proportional to 261.62, 361.17 and 178.82 is: 246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.62 : 361.17 = 178.82 : x
  2. Step 2: Convert to fraction form
    261.62/361.17 = 178.82/x
  3. Step 3: Cross multiply
    261.62x = 361.17 × 178.82
  4. Step 4: Simplify right side
    261.62x = 64,585.32
  5. Step 5: Solve for x
    x = 64,585.32/261.62
  6. Step 6: Final answer
    x = 246.87

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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.