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Finding the Fourth Proportional to 209.64, 289.28 and 132.06

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Solution

The fourth proportional to 209.64, 289.28 and 132.06 is: 182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 289.28 = 132.06 : x
  2. Step 2: Convert to fraction form
    209.64/289.28 = 132.06/x
  3. Step 3: Cross multiply
    209.64x = 289.28 × 132.06
  4. Step 4: Simplify right side
    209.64x = 38,202.32
  5. Step 5: Solve for x
    x = 38,202.32/209.64
  6. Step 6: Final answer
    x = 182.23

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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.