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Finding the Fourth Proportional to 243.29, 365.03 and 145.97

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Solution

The fourth proportional to 243.29, 365.03 and 145.97 is: 219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.29 : 365.03 = 145.97 : x
  2. Step 2: Convert to fraction form
    243.29/365.03 = 145.97/x
  3. Step 3: Cross multiply
    243.29x = 365.03 × 145.97
  4. Step 4: Simplify right side
    243.29x = 53,282.70
  5. Step 5: Solve for x
    x = 53,282.70/243.29
  6. Step 6: Final answer
    x = 219.01

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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.