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Finding the Fourth Proportional to 261.38, 391.42 and 203.11

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Solution

The fourth proportional to 261.38, 391.42 and 203.11 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.38 : 391.42 = 203.11 : x
  2. Step 2: Convert to fraction form
    261.38/391.42 = 203.11/x
  3. Step 3: Cross multiply
    261.38x = 391.42 × 203.11
  4. Step 4: Simplify right side
    261.38x = 79,500.30
  5. Step 5: Solve for x
    x = 79,500.30/261.38
  6. Step 6: Final answer
    x = 304.16

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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.