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Finding the Fourth Proportional to 742.67, 1,114.00 and 187.38

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Solution

The fourth proportional to 742.67, 1,114.00 and 187.38 is: 281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.67 : 1,114.00 = 187.38 : x
  2. Step 2: Convert to fraction form
    742.67/1,114.00 = 187.38/x
  3. Step 3: Cross multiply
    742.67x = 1,114.00 × 187.38
  4. Step 4: Simplify right side
    742.67x = 208,736.02
  5. Step 5: Solve for x
    x = 208,736.02/742.67
  6. Step 6: Final answer
    x = 281.06

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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.