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Finding the Fourth Proportional to 243.45, 365.09 and 97.13

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Solution

The fourth proportional to 243.45, 365.09 and 97.13 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.45 : 365.09 = 97.13 : x
  2. Step 2: Convert to fraction form
    243.45/365.09 = 97.13/x
  3. Step 3: Cross multiply
    243.45x = 365.09 × 97.13
  4. Step 4: Simplify right side
    243.45x = 35,458.88
  5. Step 5: Solve for x
    x = 35,458.88/243.45
  6. Step 6: Final answer
    x = 145.65

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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.