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Finding the Fourth Proportional to 261.70, 391.18 and 200.20

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Solution

The fourth proportional to 261.70, 391.18 and 200.20 is: 299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.70 : 391.18 = 200.20 : x
  2. Step 2: Convert to fraction form
    261.70/391.18 = 200.20/x
  3. Step 3: Cross multiply
    261.70x = 391.18 × 200.20
  4. Step 4: Simplify right side
    261.70x = 78,314.24
  5. Step 5: Solve for x
    x = 78,314.24/261.70
  6. Step 6: Final answer
    x = 299.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.