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Finding the Fourth Proportional to 232.44, 348.66 and 102.34

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Solution

The fourth proportional to 232.44, 348.66 and 102.34 is: 153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 348.66 = 102.34 : x
  2. Step 2: Convert to fraction form
    232.44/348.66 = 102.34/x
  3. Step 3: Cross multiply
    232.44x = 348.66 × 102.34
  4. Step 4: Simplify right side
    232.44x = 35,681.86
  5. Step 5: Solve for x
    x = 35,681.86/232.44
  6. Step 6: Final answer
    x = 153.51

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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.