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Finding the Fourth Proportional to 209.20, 289.04 and 150.88

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Solution

The fourth proportional to 209.20, 289.04 and 150.88 is: 208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.20 : 289.04 = 150.88 : x
  2. Step 2: Convert to fraction form
    209.20/289.04 = 150.88/x
  3. Step 3: Cross multiply
    209.20x = 289.04 × 150.88
  4. Step 4: Simplify right side
    209.20x = 43,610.36
  5. Step 5: Solve for x
    x = 43,610.36/209.20
  6. Step 6: Final answer
    x = 208.46

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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.