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Finding the Fourth Proportional to 209.32, 288.80 and 120.76

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Solution

The fourth proportional to 209.32, 288.80 and 120.76 is: 166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 288.80 = 120.76 : x
  2. Step 2: Convert to fraction form
    209.32/288.80 = 120.76/x
  3. Step 3: Cross multiply
    209.32x = 288.80 × 120.76
  4. Step 4: Simplify right side
    209.32x = 34,874.62
  5. Step 5: Solve for x
    x = 34,874.62/209.32
  6. Step 6: Final answer
    x = 166.61

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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.