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Finding the Fourth Proportional to 232.41, 348.56 and 78.33

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Solution

The fourth proportional to 232.41, 348.56 and 78.33 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.41 : 348.56 = 78.33 : x
  2. Step 2: Convert to fraction form
    232.41/348.56 = 78.33/x
  3. Step 3: Cross multiply
    232.41x = 348.56 × 78.33
  4. Step 4: Simplify right side
    232.41x = 27,302.31
  5. Step 5: Solve for x
    x = 27,302.31/232.41
  6. Step 6: Final answer
    x = 117.47

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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.