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Finding the Fourth Proportional to 243.15, 364.54 and 112.97

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Solution

The fourth proportional to 243.15, 364.54 and 112.97 is: 169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.15 : 364.54 = 112.97 : x
  2. Step 2: Convert to fraction form
    243.15/364.54 = 112.97/x
  3. Step 3: Cross multiply
    243.15x = 364.54 × 112.97
  4. Step 4: Simplify right side
    243.15x = 41,182.22
  5. Step 5: Solve for x
    x = 41,182.22/243.15
  6. Step 6: Final answer
    x = 169.37

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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.