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Finding the Fourth Proportional to 209.28, 288.81 and 165.06

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Solution

The fourth proportional to 209.28, 288.81 and 165.06 is: 227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.28 : 288.81 = 165.06 : x
  2. Step 2: Convert to fraction form
    209.28/288.81 = 165.06/x
  3. Step 3: Cross multiply
    209.28x = 288.81 × 165.06
  4. Step 4: Simplify right side
    209.28x = 47,670.98
  5. Step 5: Solve for x
    x = 47,670.98/209.28
  6. Step 6: Final answer
    x = 227.79

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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.