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Finding the Fourth Proportional to 209.01, 313.51 and 112.80

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Solution

The fourth proportional to 209.01, 313.51 and 112.80 is: 169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.01 : 313.51 = 112.80 : x
  2. Step 2: Convert to fraction form
    209.01/313.51 = 112.80/x
  3. Step 3: Cross multiply
    209.01x = 313.51 × 112.80
  4. Step 4: Simplify right side
    209.01x = 35,363.93
  5. Step 5: Solve for x
    x = 35,363.93/209.01
  6. Step 6: Final answer
    x = 169.20

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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.