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Finding the Fourth Proportional to 261.77, 391.89 and 200.75

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Solution

The fourth proportional to 261.77, 391.89 and 200.75 is: 300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.77 : 391.89 = 200.75 : x
  2. Step 2: Convert to fraction form
    261.77/391.89 = 200.75/x
  3. Step 3: Cross multiply
    261.77x = 391.89 × 200.75
  4. Step 4: Simplify right side
    261.77x = 78,671.92
  5. Step 5: Solve for x
    x = 78,671.92/261.77
  6. Step 6: Final answer
    x = 300.54

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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.