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Finding the Fourth Proportional to 772.31, 1,158.47 and 195.19

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Solution

The fourth proportional to 772.31, 1,158.47 and 195.19 is: 292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.31 : 1,158.47 = 195.19 : x
  2. Step 2: Convert to fraction form
    772.31/1,158.47 = 195.19/x
  3. Step 3: Cross multiply
    772.31x = 1,158.47 × 195.19
  4. Step 4: Simplify right side
    772.31x = 226,118.62
  5. Step 5: Solve for x
    x = 226,118.62/772.31
  6. Step 6: Final answer
    x = 292.78

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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.