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Finding the Fourth Proportional to 209.38, 288.94 and 116.13

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Solution

The fourth proportional to 209.38, 288.94 and 116.13 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.38 : 288.94 = 116.13 : x
  2. Step 2: Convert to fraction form
    209.38/288.94 = 116.13/x
  3. Step 3: Cross multiply
    209.38x = 288.94 × 116.13
  4. Step 4: Simplify right side
    209.38x = 33,553.81
  5. Step 5: Solve for x
    x = 33,553.81/209.38
  6. Step 6: Final answer
    x = 160.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.