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Finding the Fourth Proportional to 243.29, 365.12 and 140.45

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Solution

The fourth proportional to 243.29, 365.12 and 140.45 is: 210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.29 : 365.12 = 140.45 : x
  2. Step 2: Convert to fraction form
    243.29/365.12 = 140.45/x
  3. Step 3: Cross multiply
    243.29x = 365.12 × 140.45
  4. Step 4: Simplify right side
    243.29x = 51,278.58
  5. Step 5: Solve for x
    x = 51,278.58/243.29
  6. Step 6: Final answer
    x = 210.78

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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.