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Finding the Fourth Proportional to 772.10, 1,158.14 and 194.97

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Solution

The fourth proportional to 772.10, 1,158.14 and 194.97 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.10 : 1,158.14 = 194.97 : x
  2. Step 2: Convert to fraction form
    772.10/1,158.14 = 194.97/x
  3. Step 3: Cross multiply
    772.10x = 1,158.14 × 194.97
  4. Step 4: Simplify right side
    772.10x = 225,803.04
  5. Step 5: Solve for x
    x = 225,803.04/772.10
  6. Step 6: Final answer
    x = 292.46

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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.