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Finding the Fourth Proportional to 427.02, 640.56 and 195.90

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Solution

The fourth proportional to 427.02, 640.56 and 195.90 is: 293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.02 : 640.56 = 195.90 : x
  2. Step 2: Convert to fraction form
    427.02/640.56 = 195.90/x
  3. Step 3: Cross multiply
    427.02x = 640.56 × 195.90
  4. Step 4: Simplify right side
    427.02x = 125,485.70
  5. Step 5: Solve for x
    x = 125,485.70/427.02
  6. Step 6: Final answer
    x = 293.86

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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.