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Finding the Fourth Proportional to 232.40, 348.59 and 78.33

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Solution

The fourth proportional to 232.40, 348.59 and 78.33 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 348.59 = 78.33 : x
  2. Step 2: Convert to fraction form
    232.40/348.59 = 78.33/x
  3. Step 3: Cross multiply
    232.40x = 348.59 × 78.33
  4. Step 4: Simplify right side
    232.40x = 27,304.66
  5. Step 5: Solve for x
    x = 27,304.66/232.40
  6. Step 6: Final answer
    x = 117.49

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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.