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Finding the Fourth Proportional to 209.13, 288.50 and 130.43

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Solution

The fourth proportional to 209.13, 288.50 and 130.43 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 288.50 = 130.43 : x
  2. Step 2: Convert to fraction form
    209.13/288.50 = 130.43/x
  3. Step 3: Cross multiply
    209.13x = 288.50 × 130.43
  4. Step 4: Simplify right side
    209.13x = 37,626.96
  5. Step 5: Solve for x
    x = 37,626.96/209.13
  6. Step 6: Final answer
    x = 179.92

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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.