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Finding the Fourth Proportional to 232.15, 348.13 and 78.07

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Solution

The fourth proportional to 232.15, 348.13 and 78.07 is: 117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.15 : 348.13 = 78.07 : x
  2. Step 2: Convert to fraction form
    232.15/348.13 = 78.07/x
  3. Step 3: Cross multiply
    232.15x = 348.13 × 78.07
  4. Step 4: Simplify right side
    232.15x = 27,178.51
  5. Step 5: Solve for x
    x = 27,178.51/232.15
  6. Step 6: Final answer
    x = 117.07

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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.