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Finding the Fourth Proportional to 209.02, 288.41 and 115.75

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Solution

The fourth proportional to 209.02, 288.41 and 115.75 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 288.41 = 115.75 : x
  2. Step 2: Convert to fraction form
    209.02/288.41 = 115.75/x
  3. Step 3: Cross multiply
    209.02x = 288.41 × 115.75
  4. Step 4: Simplify right side
    209.02x = 33,381.44
  5. Step 5: Solve for x
    x = 33,381.44/209.02
  6. Step 6: Final answer
    x = 159.71

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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.