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Finding the Fourth Proportional to 243.97, 365.90 and 70.59

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Solution

The fourth proportional to 243.97, 365.90 and 70.59 is: 105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.97 : 365.90 = 70.59 : x
  2. Step 2: Convert to fraction form
    243.97/365.90 = 70.59/x
  3. Step 3: Cross multiply
    243.97x = 365.90 × 70.59
  4. Step 4: Simplify right side
    243.97x = 25,829.90
  5. Step 5: Solve for x
    x = 25,829.90/243.97
  6. Step 6: Final answer
    x = 105.87

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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.