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Finding the Fourth Proportional to 209.39, 288.50 and 160.11

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Solution

The fourth proportional to 209.39, 288.50 and 160.11 is: 220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.39 : 288.50 = 160.11 : x
  2. Step 2: Convert to fraction form
    209.39/288.50 = 160.11/x
  3. Step 3: Cross multiply
    209.39x = 288.50 × 160.11
  4. Step 4: Simplify right side
    209.39x = 46,190.93
  5. Step 5: Solve for x
    x = 46,190.93/209.39
  6. Step 6: Final answer
    x = 220.60

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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.