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Finding the Fourth Proportional to 209.38, 313.82 and 117.92

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Solution

The fourth proportional to 209.38, 313.82 and 117.92 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.38 : 313.82 = 117.92 : x
  2. Step 2: Convert to fraction form
    209.38/313.82 = 117.92/x
  3. Step 3: Cross multiply
    209.38x = 313.82 × 117.92
  4. Step 4: Simplify right side
    209.38x = 37,005.65
  5. Step 5: Solve for x
    x = 37,005.65/209.38
  6. Step 6: Final answer
    x = 176.74

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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.