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Finding the Fourth Proportional to 261.92, 393.68 and 255.76

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Solution

The fourth proportional to 261.92, 393.68 and 255.76 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.92 : 393.68 = 255.76 : x
  2. Step 2: Convert to fraction form
    261.92/393.68 = 255.76/x
  3. Step 3: Cross multiply
    261.92x = 393.68 × 255.76
  4. Step 4: Simplify right side
    261.92x = 100,687.60
  5. Step 5: Solve for x
    x = 100,687.60/261.92
  6. Step 6: Final answer
    x = 384.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.