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Finding the Fourth Proportional to 209.26, 314.01 and 81.02

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Solution

The fourth proportional to 209.26, 314.01 and 81.02 is: 121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.26 : 314.01 = 81.02 : x
  2. Step 2: Convert to fraction form
    209.26/314.01 = 81.02/x
  3. Step 3: Cross multiply
    209.26x = 314.01 × 81.02
  4. Step 4: Simplify right side
    209.26x = 25,441.09
  5. Step 5: Solve for x
    x = 25,441.09/209.26
  6. Step 6: Final answer
    x = 121.58

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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.