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Finding the Fourth Proportional to 427.38, 640.94 and 138.75

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Solution

The fourth proportional to 427.38, 640.94 and 138.75 is: 208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 640.94 = 138.75 : x
  2. Step 2: Convert to fraction form
    427.38/640.94 = 138.75/x
  3. Step 3: Cross multiply
    427.38x = 640.94 × 138.75
  4. Step 4: Simplify right side
    427.38x = 88,929.73
  5. Step 5: Solve for x
    x = 88,929.73/427.38
  6. Step 6: Final answer
    x = 208.08

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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.