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Finding the Fourth Proportional to 248.08, 371.76 and 139.84

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Solution

The fourth proportional to 248.08, 371.76 and 139.84 is: 209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.08 : 371.76 = 139.84 : x
  2. Step 2: Convert to fraction form
    248.08/371.76 = 139.84/x
  3. Step 3: Cross multiply
    248.08x = 371.76 × 139.84
  4. Step 4: Simplify right side
    248.08x = 51,986.92
  5. Step 5: Solve for x
    x = 51,986.92/248.08
  6. Step 6: Final answer
    x = 209.56

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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.