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Finding the Fourth Proportional to 243.82, 365.47 and 87.54

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Solution

The fourth proportional to 243.82, 365.47 and 87.54 is: 131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.82 : 365.47 = 87.54 : x
  2. Step 2: Convert to fraction form
    243.82/365.47 = 87.54/x
  3. Step 3: Cross multiply
    243.82x = 365.47 × 87.54
  4. Step 4: Simplify right side
    243.82x = 31,991.97
  5. Step 5: Solve for x
    x = 31,991.97/243.82
  6. Step 6: Final answer
    x = 131.21

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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.