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Finding the Fourth Proportional to 742.71, 1,114.08 and 194.91

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Solution

The fourth proportional to 742.71, 1,114.08 and 194.91 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.71 : 1,114.08 = 194.91 : x
  2. Step 2: Convert to fraction form
    742.71/1,114.08 = 194.91/x
  3. Step 3: Cross multiply
    742.71x = 1,114.08 × 194.91
  4. Step 4: Simplify right side
    742.71x = 217,145.33
  5. Step 5: Solve for x
    x = 217,145.33/742.71
  6. Step 6: Final answer
    x = 292.37

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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.