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Finding the Fourth Proportional to 232.93, 348.99 and 194.66

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Solution

The fourth proportional to 232.93, 348.99 and 194.66 is: 291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.93 : 348.99 = 194.66 : x
  2. Step 2: Convert to fraction form
    232.93/348.99 = 194.66/x
  3. Step 3: Cross multiply
    232.93x = 348.99 × 194.66
  4. Step 4: Simplify right side
    232.93x = 67,934.39
  5. Step 5: Solve for x
    x = 67,934.39/232.93
  6. Step 6: Final answer
    x = 291.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.