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Finding the Fourth Proportional to 243.86, 336.20 and 202.37

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Solution

The fourth proportional to 243.86, 336.20 and 202.37 is: 278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.86 : 336.20 = 202.37 : x
  2. Step 2: Convert to fraction form
    243.86/336.20 = 202.37/x
  3. Step 3: Cross multiply
    243.86x = 336.20 × 202.37
  4. Step 4: Simplify right side
    243.86x = 68,034.10
  5. Step 5: Solve for x
    x = 68,034.10/243.86
  6. Step 6: Final answer
    x = 278.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.