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Finding the Fourth Proportional to 261.41, 391.23 and 200.19

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Solution

The fourth proportional to 261.41, 391.23 and 200.19 is: 299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.41 : 391.23 = 200.19 : x
  2. Step 2: Convert to fraction form
    261.41/391.23 = 200.19/x
  3. Step 3: Cross multiply
    261.41x = 391.23 × 200.19
  4. Step 4: Simplify right side
    261.41x = 78,320.33
  5. Step 5: Solve for x
    x = 78,320.33/261.41
  6. Step 6: Final answer
    x = 299.61

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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.