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Finding the Fourth Proportional to 219.06, 328.26 and 132.29

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Solution

The fourth proportional to 219.06, 328.26 and 132.29 is: 198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 328.26 = 132.29 : x
  2. Step 2: Convert to fraction form
    219.06/328.26 = 132.29/x
  3. Step 3: Cross multiply
    219.06x = 328.26 × 132.29
  4. Step 4: Simplify right side
    219.06x = 43,425.84
  5. Step 5: Solve for x
    x = 43,425.84/219.06
  6. Step 6: Final answer
    x = 198.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.