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Finding the Fourth Proportional to 209.74, 289.32 and 132.16

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Solution

The fourth proportional to 209.74, 289.32 and 132.16 is: 182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 289.32 = 132.16 : x
  2. Step 2: Convert to fraction form
    209.74/289.32 = 132.16/x
  3. Step 3: Cross multiply
    209.74x = 289.32 × 132.16
  4. Step 4: Simplify right side
    209.74x = 38,236.53
  5. Step 5: Solve for x
    x = 38,236.53/209.74
  6. Step 6: Final answer
    x = 182.30

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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.