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Finding the Fourth Proportional to 283.72, 392.16 and 261.85

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Solution

The fourth proportional to 283.72, 392.16 and 261.85 is: 361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.72 : 392.16 = 261.85 : x
  2. Step 2: Convert to fraction form
    283.72/392.16 = 261.85/x
  3. Step 3: Cross multiply
    283.72x = 392.16 × 261.85
  4. Step 4: Simplify right side
    283.72x = 102,687.10
  5. Step 5: Solve for x
    x = 102,687.10/283.72
  6. Step 6: Final answer
    x = 361.93

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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.