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Finding the Fourth Proportional to 248.81, 343.31 and 169.08

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Solution

The fourth proportional to 248.81, 343.31 and 169.08 is: 233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 343.31 = 169.08 : x
  2. Step 2: Convert to fraction form
    248.81/343.31 = 169.08/x
  3. Step 3: Cross multiply
    248.81x = 343.31 × 169.08
  4. Step 4: Simplify right side
    248.81x = 58,046.01
  5. Step 5: Solve for x
    x = 58,046.01/248.81
  6. Step 6: Final answer
    x = 233.29

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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.