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Finding the Fourth Proportional to 248.41, 371.89 and 167.10

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Solution

The fourth proportional to 248.41, 371.89 and 167.10 is: 250.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.41 : 371.89 = 167.10 : x
  2. Step 2: Convert to fraction form
    248.41/371.89 = 167.10/x
  3. Step 3: Cross multiply
    248.41x = 371.89 × 167.10
  4. Step 4: Simplify right side
    248.41x = 62,141.98
  5. Step 5: Solve for x
    x = 62,141.98/248.41
  6. Step 6: Final answer
    x = 250.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.