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Finding the Fourth Proportional to 261.62, 391.62 and 200.54

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Solution

The fourth proportional to 261.62, 391.62 and 200.54 is: 300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.62 : 391.62 = 200.54 : x
  2. Step 2: Convert to fraction form
    261.62/391.62 = 200.54/x
  3. Step 3: Cross multiply
    261.62x = 391.62 × 200.54
  4. Step 4: Simplify right side
    261.62x = 78,535.47
  5. Step 5: Solve for x
    x = 78,535.47/261.62
  6. Step 6: Final answer
    x = 300.19

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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.