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Finding the Fourth Proportional to 209.53, 289.17 and 160.51

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Solution

The fourth proportional to 209.53, 289.17 and 160.51 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 289.17 = 160.51 : x
  2. Step 2: Convert to fraction form
    209.53/289.17 = 160.51/x
  3. Step 3: Cross multiply
    209.53x = 289.17 × 160.51
  4. Step 4: Simplify right side
    209.53x = 46,414.68
  5. Step 5: Solve for x
    x = 46,414.68/209.53
  6. Step 6: Final answer
    x = 221.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.