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Finding the Fourth Proportional to 261.48, 361.12 and 178.82

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Solution

The fourth proportional to 261.48, 361.12 and 178.82 is: 246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.48 : 361.12 = 178.82 : x
  2. Step 2: Convert to fraction form
    261.48/361.12 = 178.82/x
  3. Step 3: Cross multiply
    261.48x = 361.12 × 178.82
  4. Step 4: Simplify right side
    261.48x = 64,575.48
  5. Step 5: Solve for x
    x = 64,575.48/261.48
  6. Step 6: Final answer
    x = 246.96

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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.