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Finding the Fourth Proportional to 232.60, 348.66 and 194.32

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Solution

The fourth proportional to 232.60, 348.66 and 194.32 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.60 : 348.66 = 194.32 : x
  2. Step 2: Convert to fraction form
    232.60/348.66 = 194.32/x
  3. Step 3: Cross multiply
    232.60x = 348.66 × 194.32
  4. Step 4: Simplify right side
    232.60x = 67,751.61
  5. Step 5: Solve for x
    x = 67,751.61/232.60
  6. Step 6: Final answer
    x = 291.28

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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.