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Finding the Fourth Proportional to 209.29, 314.13 and 106.66

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Solution

The fourth proportional to 209.29, 314.13 and 106.66 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.29 : 314.13 = 106.66 : x
  2. Step 2: Convert to fraction form
    209.29/314.13 = 106.66/x
  3. Step 3: Cross multiply
    209.29x = 314.13 × 106.66
  4. Step 4: Simplify right side
    209.29x = 33,505.11
  5. Step 5: Solve for x
    x = 33,505.11/209.29
  6. Step 6: Final answer
    x = 160.09

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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.