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Finding the Fourth Proportional to 209.76, 289.56 and 132.24

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Solution

The fourth proportional to 209.76, 289.56 and 132.24 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.76 : 289.56 = 132.24 : x
  2. Step 2: Convert to fraction form
    209.76/289.56 = 132.24/x
  3. Step 3: Cross multiply
    209.76x = 289.56 × 132.24
  4. Step 4: Simplify right side
    209.76x = 38,291.41
  5. Step 5: Solve for x
    x = 38,291.41/209.76
  6. Step 6: Final answer
    x = 182.55

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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.