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Finding the Fourth Proportional to 209.60, 314.59 and 112.18

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Solution

The fourth proportional to 209.60, 314.59 and 112.18 is: 168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 314.59 = 112.18 : x
  2. Step 2: Convert to fraction form
    209.60/314.59 = 112.18/x
  3. Step 3: Cross multiply
    209.60x = 314.59 × 112.18
  4. Step 4: Simplify right side
    209.60x = 35,290.71
  5. Step 5: Solve for x
    x = 35,290.71/209.60
  6. Step 6: Final answer
    x = 168.37

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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.