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Finding the Fourth Proportional to 209.24, 288.74 and 120.72

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Solution

The fourth proportional to 209.24, 288.74 and 120.72 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.24 : 288.74 = 120.72 : x
  2. Step 2: Convert to fraction form
    209.24/288.74 = 120.72/x
  3. Step 3: Cross multiply
    209.24x = 288.74 × 120.72
  4. Step 4: Simplify right side
    209.24x = 34,856.69
  5. Step 5: Solve for x
    x = 34,856.69/209.24
  6. Step 6: Final answer
    x = 166.59

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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.