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Finding the Fourth Proportional to 248.58, 371.97 and 209.70

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Solution

The fourth proportional to 248.58, 371.97 and 209.70 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.58 : 371.97 = 209.70 : x
  2. Step 2: Convert to fraction form
    248.58/371.97 = 209.70/x
  3. Step 3: Cross multiply
    248.58x = 371.97 × 209.70
  4. Step 4: Simplify right side
    248.58x = 78,002.11
  5. Step 5: Solve for x
    x = 78,002.11/248.58
  6. Step 6: Final answer
    x = 313.79

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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.