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Finding the Fourth Proportional to 427.08, 640.92 and 196

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Solution

The fourth proportional to 427.08, 640.92 and 196 is: 294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.08 : 640.92 = 196 : x
  2. Step 2: Convert to fraction form
    427.08/640.92 = 196/x
  3. Step 3: Cross multiply
    427.08x = 640.92 × 196
  4. Step 4: Simplify right side
    427.08x = 125,620.32
  5. Step 5: Solve for x
    x = 125,620.32/427.08
  6. Step 6: Final answer
    x = 294.14

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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.