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Finding the Fourth Proportional to 232.13, 348.16 and 78.02

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Solution

The fourth proportional to 232.13, 348.16 and 78.02 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.13 : 348.16 = 78.02 : x
  2. Step 2: Convert to fraction form
    232.13/348.16 = 78.02/x
  3. Step 3: Cross multiply
    232.13x = 348.16 × 78.02
  4. Step 4: Simplify right side
    232.13x = 27,163.05
  5. Step 5: Solve for x
    x = 27,163.05/232.13
  6. Step 6: Final answer
    x = 117.02

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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.