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Finding the Fourth Proportional to 209.72, 314.96 and 112.29

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Solution

The fourth proportional to 209.72, 314.96 and 112.29 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 314.96 = 112.29 : x
  2. Step 2: Convert to fraction form
    209.72/314.96 = 112.29/x
  3. Step 3: Cross multiply
    209.72x = 314.96 × 112.29
  4. Step 4: Simplify right side
    209.72x = 35,366.30
  5. Step 5: Solve for x
    x = 35,366.30/209.72
  6. Step 6: Final answer
    x = 168.64

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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.