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Finding the Fourth Proportional to 209.06, 288.44 and 130.44

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Solution

The fourth proportional to 209.06, 288.44 and 130.44 is: 179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.06 : 288.44 = 130.44 : x
  2. Step 2: Convert to fraction form
    209.06/288.44 = 130.44/x
  3. Step 3: Cross multiply
    209.06x = 288.44 × 130.44
  4. Step 4: Simplify right side
    209.06x = 37,624.11
  5. Step 5: Solve for x
    x = 37,624.11/209.06
  6. Step 6: Final answer
    x = 179.97

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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.