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Finding the Fourth Proportional to 742.07, 1,113.17 and 194.25

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Solution

The fourth proportional to 742.07, 1,113.17 and 194.25 is: 291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.07 : 1,113.17 = 194.25 : x
  2. Step 2: Convert to fraction form
    742.07/1,113.17 = 194.25/x
  3. Step 3: Cross multiply
    742.07x = 1,113.17 × 194.25
  4. Step 4: Simplify right side
    742.07x = 216,232.30
  5. Step 5: Solve for x
    x = 216,232.30/742.07
  6. Step 6: Final answer
    x = 291.39

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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.