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Finding the Fourth Proportional to 232.04, 345.68 and 218.09

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Solution

The fourth proportional to 232.04, 345.68 and 218.09 is: 324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 345.68 = 218.09 : x
  2. Step 2: Convert to fraction form
    232.04/345.68 = 218.09/x
  3. Step 3: Cross multiply
    232.04x = 345.68 × 218.09
  4. Step 4: Simplify right side
    232.04x = 75,386.53
  5. Step 5: Solve for x
    x = 75,386.53/232.04
  6. Step 6: Final answer
    x = 324.89

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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.