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Finding the Fourth Proportional to 232.26, 348.42 and 216.06

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Solution

The fourth proportional to 232.26, 348.42 and 216.06 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 348.42 = 216.06 : x
  2. Step 2: Convert to fraction form
    232.26/348.42 = 216.06/x
  3. Step 3: Cross multiply
    232.26x = 348.42 × 216.06
  4. Step 4: Simplify right side
    232.26x = 75,279.63
  5. Step 5: Solve for x
    x = 75,279.63/232.26
  6. Step 6: Final answer
    x = 324.12

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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.