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Finding the Fourth Proportional to 209.60, 289.38 and 165.80

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Solution

The fourth proportional to 209.60, 289.38 and 165.80 is: 228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 289.38 = 165.80 : x
  2. Step 2: Convert to fraction form
    209.60/289.38 = 165.80/x
  3. Step 3: Cross multiply
    209.60x = 289.38 × 165.80
  4. Step 4: Simplify right side
    209.60x = 47,979.20
  5. Step 5: Solve for x
    x = 47,979.20/209.60
  6. Step 6: Final answer
    x = 228.91

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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.