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Finding the Fourth Proportional to 395.81, 546.16 and 248.49

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Solution

The fourth proportional to 395.81, 546.16 and 248.49 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.81 : 546.16 = 248.49 : x
  2. Step 2: Convert to fraction form
    395.81/546.16 = 248.49/x
  3. Step 3: Cross multiply
    395.81x = 546.16 × 248.49
  4. Step 4: Simplify right side
    395.81x = 135,714.06
  5. Step 5: Solve for x
    x = 135,714.06/395.81
  6. Step 6: Final answer
    x = 342.88

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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.