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Finding the Fourth Proportional to 248.27, 342.50 and 149.97

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Solution

The fourth proportional to 248.27, 342.50 and 149.97 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.27 : 342.50 = 149.97 : x
  2. Step 2: Convert to fraction form
    248.27/342.50 = 149.97/x
  3. Step 3: Cross multiply
    248.27x = 342.50 × 149.97
  4. Step 4: Simplify right side
    248.27x = 51,362.26
  5. Step 5: Solve for x
    x = 51,362.26/248.27
  6. Step 6: Final answer
    x = 206.88

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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.