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Finding the Fourth Proportional to 209.53, 289.19 and 160.52

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Solution

The fourth proportional to 209.53, 289.19 and 160.52 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 289.19 = 160.52 : x
  2. Step 2: Convert to fraction form
    209.53/289.19 = 160.52/x
  3. Step 3: Cross multiply
    209.53x = 289.19 × 160.52
  4. Step 4: Simplify right side
    209.53x = 46,421.90
  5. Step 5: Solve for x
    x = 46,421.90/209.53
  6. Step 6: Final answer
    x = 221.56

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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.