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Finding the Fourth Proportional to 402.05, 602.67 and 127.94

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Solution

The fourth proportional to 402.05, 602.67 and 127.94 is: 191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.05 : 602.67 = 127.94 : x
  2. Step 2: Convert to fraction form
    402.05/602.67 = 127.94/x
  3. Step 3: Cross multiply
    402.05x = 602.67 × 127.94
  4. Step 4: Simplify right side
    402.05x = 77,102.59
  5. Step 5: Solve for x
    x = 77,102.59/402.05
  6. Step 6: Final answer
    x = 191.78

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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.