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Finding the Fourth Proportional to 209.78, 314.70 and 81.50

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Solution

The fourth proportional to 209.78, 314.70 and 81.50 is: 122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 314.70 = 81.50 : x
  2. Step 2: Convert to fraction form
    209.78/314.70 = 81.50/x
  3. Step 3: Cross multiply
    209.78x = 314.70 × 81.50
  4. Step 4: Simplify right side
    209.78x = 25,648.05
  5. Step 5: Solve for x
    x = 25,648.05/209.78
  6. Step 6: Final answer
    x = 122.26

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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.