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Finding the Fourth Proportional to 209.28, 288.99 and 165.81

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Solution

The fourth proportional to 209.28, 288.99 and 165.81 is: 228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.28 : 288.99 = 165.81 : x
  2. Step 2: Convert to fraction form
    209.28/288.99 = 165.81/x
  3. Step 3: Cross multiply
    209.28x = 288.99 × 165.81
  4. Step 4: Simplify right side
    209.28x = 47,917.43
  5. Step 5: Solve for x
    x = 47,917.43/209.28
  6. Step 6: Final answer
    x = 228.96

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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.