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Finding the Fourth Proportional to 209.05, 288.63 and 159.84

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Solution

The fourth proportional to 209.05, 288.63 and 159.84 is: 220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 288.63 = 159.84 : x
  2. Step 2: Convert to fraction form
    209.05/288.63 = 159.84/x
  3. Step 3: Cross multiply
    209.05x = 288.63 × 159.84
  4. Step 4: Simplify right side
    209.05x = 46,134.62
  5. Step 5: Solve for x
    x = 46,134.62/209.05
  6. Step 6: Final answer
    x = 220.69

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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.