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Finding the Fourth Proportional to 209.66, 314.14 and 106.80

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Solution

The fourth proportional to 209.66, 314.14 and 106.80 is: 160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.66 : 314.14 = 106.80 : x
  2. Step 2: Convert to fraction form
    209.66/314.14 = 106.80/x
  3. Step 3: Cross multiply
    209.66x = 314.14 × 106.80
  4. Step 4: Simplify right side
    209.66x = 33,550.42
  5. Step 5: Solve for x
    x = 33,550.42/209.66
  6. Step 6: Final answer
    x = 160.02

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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.