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Finding the Fourth Proportional to 248.20, 371.49 and 145.20

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Solution

The fourth proportional to 248.20, 371.49 and 145.20 is: 217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 371.49 = 145.20 : x
  2. Step 2: Convert to fraction form
    248.20/371.49 = 145.20/x
  3. Step 3: Cross multiply
    248.20x = 371.49 × 145.20
  4. Step 4: Simplify right side
    248.20x = 53,940.35
  5. Step 5: Solve for x
    x = 53,940.35/248.20
  6. Step 6: Final answer
    x = 217.33

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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.