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Finding the Fourth Proportional to 742.96, 1,114.38 and 187.66

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Solution

The fourth proportional to 742.96, 1,114.38 and 187.66 is: 281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,114.38 = 187.66 : x
  2. Step 2: Convert to fraction form
    742.96/1,114.38 = 187.66/x
  3. Step 3: Cross multiply
    742.96x = 1,114.38 × 187.66
  4. Step 4: Simplify right side
    742.96x = 209,124.55
  5. Step 5: Solve for x
    x = 209,124.55/742.96
  6. Step 6: Final answer
    x = 281.47

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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.