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Finding the Fourth Proportional to 248.86, 343.20 and 205.12

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Solution

The fourth proportional to 248.86, 343.20 and 205.12 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.86 : 343.20 = 205.12 : x
  2. Step 2: Convert to fraction form
    248.86/343.20 = 205.12/x
  3. Step 3: Cross multiply
    248.86x = 343.20 × 205.12
  4. Step 4: Simplify right side
    248.86x = 70,397.18
  5. Step 5: Solve for x
    x = 70,397.18/248.86
  6. Step 6: Final answer
    x = 282.88

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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.