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Finding the Fourth Proportional to 384.20, 575.78 and 201.22

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Solution

The fourth proportional to 384.20, 575.78 and 201.22 is: 301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 575.78 = 201.22 : x
  2. Step 2: Convert to fraction form
    384.20/575.78 = 201.22/x
  3. Step 3: Cross multiply
    384.20x = 575.78 × 201.22
  4. Step 4: Simplify right side
    384.20x = 115,858.45
  5. Step 5: Solve for x
    x = 115,858.45/384.20
  6. Step 6: Final answer
    x = 301.56

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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.