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Finding the Fourth Proportional to 234.97, 350.75 and 215.71

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Solution

The fourth proportional to 234.97, 350.75 and 215.71 is: 322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.97 : 350.75 = 215.71 : x
  2. Step 2: Convert to fraction form
    234.97/350.75 = 215.71/x
  3. Step 3: Cross multiply
    234.97x = 350.75 × 215.71
  4. Step 4: Simplify right side
    234.97x = 75,660.28
  5. Step 5: Solve for x
    x = 75,660.28/234.97
  6. Step 6: Final answer
    x = 322.00

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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.