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Finding the Fourth Proportional to 209.60, 289.22 and 130.91

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Solution

The fourth proportional to 209.60, 289.22 and 130.91 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 289.22 = 130.91 : x
  2. Step 2: Convert to fraction form
    209.60/289.22 = 130.91/x
  3. Step 3: Cross multiply
    209.60x = 289.22 × 130.91
  4. Step 4: Simplify right side
    209.60x = 37,861.86
  5. Step 5: Solve for x
    x = 37,861.86/209.60
  6. Step 6: Final answer
    x = 180.64

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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.