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Finding the Fourth Proportional to 209.40, 314.02 and 93.88

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Solution

The fourth proportional to 209.40, 314.02 and 93.88 is: 140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.40 : 314.02 = 93.88 : x
  2. Step 2: Convert to fraction form
    209.40/314.02 = 93.88/x
  3. Step 3: Cross multiply
    209.40x = 314.02 × 93.88
  4. Step 4: Simplify right side
    209.40x = 29,480.20
  5. Step 5: Solve for x
    x = 29,480.20/209.40
  6. Step 6: Final answer
    x = 140.78

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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.