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Finding the Fourth Proportional to 261.72, 361.24 and 178.97

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Solution

The fourth proportional to 261.72, 361.24 and 178.97 is: 247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.72 : 361.24 = 178.97 : x
  2. Step 2: Convert to fraction form
    261.72/361.24 = 178.97/x
  3. Step 3: Cross multiply
    261.72x = 361.24 × 178.97
  4. Step 4: Simplify right side
    261.72x = 64,648.87
  5. Step 5: Solve for x
    x = 64,648.87/261.72
  6. Step 6: Final answer
    x = 247.02

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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.