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Finding the Fourth Proportional to 231.39, 345.62 and 194.94

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Solution

The fourth proportional to 231.39, 345.62 and 194.94 is: 291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.39 : 345.62 = 194.94 : x
  2. Step 2: Convert to fraction form
    231.39/345.62 = 194.94/x
  3. Step 3: Cross multiply
    231.39x = 345.62 × 194.94
  4. Step 4: Simplify right side
    231.39x = 67,375.65
  5. Step 5: Solve for x
    x = 67,375.65/231.39
  6. Step 6: Final answer
    x = 291.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.