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Finding the Fourth Proportional to 209.97, 289.60 and 160.74

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Solution

The fourth proportional to 209.97, 289.60 and 160.74 is: 221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 289.60 = 160.74 : x
  2. Step 2: Convert to fraction form
    209.97/289.60 = 160.74/x
  3. Step 3: Cross multiply
    209.97x = 289.60 × 160.74
  4. Step 4: Simplify right side
    209.97x = 46,549.90
  5. Step 5: Solve for x
    x = 46,549.90/209.97
  6. Step 6: Final answer
    x = 221.70

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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.