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Finding the Fourth Proportional to 261.57, 392.49 and 200.82

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Solution

The fourth proportional to 261.57, 392.49 and 200.82 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.57 : 392.49 = 200.82 : x
  2. Step 2: Convert to fraction form
    261.57/392.49 = 200.82/x
  3. Step 3: Cross multiply
    261.57x = 392.49 × 200.82
  4. Step 4: Simplify right side
    261.57x = 78,819.84
  5. Step 5: Solve for x
    x = 78,819.84/261.57
  6. Step 6: Final answer
    x = 301.33

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