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Finding the Fourth Proportional to 219.06, 326.58 and 201.78

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Solution

The fourth proportional to 219.06, 326.58 and 201.78 is: 300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 326.58 = 201.78 : x
  2. Step 2: Convert to fraction form
    219.06/326.58 = 201.78/x
  3. Step 3: Cross multiply
    219.06x = 326.58 × 201.78
  4. Step 4: Simplify right side
    219.06x = 65,897.31
  5. Step 5: Solve for x
    x = 65,897.31/219.06
  6. Step 6: Final answer
    x = 300.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.