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Finding the Fourth Proportional to 243.25, 364.73 and 121.68

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Solution

The fourth proportional to 243.25, 364.73 and 121.68 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.25 : 364.73 = 121.68 : x
  2. Step 2: Convert to fraction form
    243.25/364.73 = 121.68/x
  3. Step 3: Cross multiply
    243.25x = 364.73 × 121.68
  4. Step 4: Simplify right side
    243.25x = 44,380.35
  5. Step 5: Solve for x
    x = 44,380.35/243.25
  6. Step 6: Final answer
    x = 182.45

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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.