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Finding the Fourth Proportional to 248.45, 372.04 and 140.14

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Solution

The fourth proportional to 248.45, 372.04 and 140.14 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.45 : 372.04 = 140.14 : x
  2. Step 2: Convert to fraction form
    248.45/372.04 = 140.14/x
  3. Step 3: Cross multiply
    248.45x = 372.04 × 140.14
  4. Step 4: Simplify right side
    248.45x = 52,137.69
  5. Step 5: Solve for x
    x = 52,137.69/248.45
  6. Step 6: Final answer
    x = 209.85

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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.