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Finding the Fourth Proportional to 209.03, 288.43 and 115.76

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Solution

The fourth proportional to 209.03, 288.43 and 115.76 is: 159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.03 : 288.43 = 115.76 : x
  2. Step 2: Convert to fraction form
    209.03/288.43 = 115.76/x
  3. Step 3: Cross multiply
    209.03x = 288.43 × 115.76
  4. Step 4: Simplify right side
    209.03x = 33,387.50
  5. Step 5: Solve for x
    x = 33,387.50/209.03
  6. Step 6: Final answer
    x = 159.73

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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.