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Finding the Fourth Proportional to 232.85, 349.04 and 102.92

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Solution

The fourth proportional to 232.85, 349.04 and 102.92 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.85 : 349.04 = 102.92 : x
  2. Step 2: Convert to fraction form
    232.85/349.04 = 102.92/x
  3. Step 3: Cross multiply
    232.85x = 349.04 × 102.92
  4. Step 4: Simplify right side
    232.85x = 35,924.65
  5. Step 5: Solve for x
    x = 35,924.65/232.85
  6. Step 6: Final answer
    x = 154.28

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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.