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Finding the Fourth Proportional to 234.13, 349.29 and 195.86

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Solution

The fourth proportional to 234.13, 349.29 and 195.86 is: 292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.13 : 349.29 = 195.86 : x
  2. Step 2: Convert to fraction form
    234.13/349.29 = 195.86/x
  3. Step 3: Cross multiply
    234.13x = 349.29 × 195.86
  4. Step 4: Simplify right side
    234.13x = 68,411.94
  5. Step 5: Solve for x
    x = 68,411.94/234.13
  6. Step 6: Final answer
    x = 292.20

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Why These Related Problems?

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