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Finding the Fourth Proportional to 243.85, 365.92 and 97.57

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Solution

The fourth proportional to 243.85, 365.92 and 97.57 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.85 : 365.92 = 97.57 : x
  2. Step 2: Convert to fraction form
    243.85/365.92 = 97.57/x
  3. Step 3: Cross multiply
    243.85x = 365.92 × 97.57
  4. Step 4: Simplify right side
    243.85x = 35,702.81
  5. Step 5: Solve for x
    x = 35,702.81/243.85
  6. Step 6: Final answer
    x = 146.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.