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Finding the Fourth Proportional to 209.88, 289.49 and 160.67

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Solution

The fourth proportional to 209.88, 289.49 and 160.67 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.88 : 289.49 = 160.67 : x
  2. Step 2: Convert to fraction form
    209.88/289.49 = 160.67/x
  3. Step 3: Cross multiply
    209.88x = 289.49 × 160.67
  4. Step 4: Simplify right side
    209.88x = 46,510.11
  5. Step 5: Solve for x
    x = 46,510.11/209.88
  6. Step 6: Final answer
    x = 221.60

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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.