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Finding the Fourth Proportional to 232.14, 348.22 and 102.06

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Solution

The fourth proportional to 232.14, 348.22 and 102.06 is: 153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.14 : 348.22 = 102.06 : x
  2. Step 2: Convert to fraction form
    232.14/348.22 = 102.06/x
  3. Step 3: Cross multiply
    232.14x = 348.22 × 102.06
  4. Step 4: Simplify right side
    232.14x = 35,539.33
  5. Step 5: Solve for x
    x = 35,539.33/232.14
  6. Step 6: Final answer
    x = 153.09

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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.