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Finding the Fourth Proportional to 243.89, 365.17 and 141.02

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Solution

The fourth proportional to 243.89, 365.17 and 141.02 is: 211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.89 : 365.17 = 141.02 : x
  2. Step 2: Convert to fraction form
    243.89/365.17 = 141.02/x
  3. Step 3: Cross multiply
    243.89x = 365.17 × 141.02
  4. Step 4: Simplify right side
    243.89x = 51,496.27
  5. Step 5: Solve for x
    x = 51,496.27/243.89
  6. Step 6: Final answer
    x = 211.15

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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.