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Finding the Fourth Proportional to 232.69, 350.42 and 202.62

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Solution

The fourth proportional to 232.69, 350.42 and 202.62 is: 305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 350.42 = 202.62 : x
  2. Step 2: Convert to fraction form
    232.69/350.42 = 202.62/x
  3. Step 3: Cross multiply
    232.69x = 350.42 × 202.62
  4. Step 4: Simplify right side
    232.69x = 71,001.00
  5. Step 5: Solve for x
    x = 71,001.00/232.69
  6. Step 6: Final answer
    x = 305.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.