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Finding the Fourth Proportional to 209.97, 314.86 and 81.63

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Solution

The fourth proportional to 209.97, 314.86 and 81.63 is: 122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 314.86 = 81.63 : x
  2. Step 2: Convert to fraction form
    209.97/314.86 = 81.63/x
  3. Step 3: Cross multiply
    209.97x = 314.86 × 81.63
  4. Step 4: Simplify right side
    209.97x = 25,700.04
  5. Step 5: Solve for x
    x = 25,700.04/209.97
  6. Step 6: Final answer
    x = 122.40

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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.