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Finding the Fourth Proportional to 617.88, 927.03 and 185.10

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Solution

The fourth proportional to 617.88, 927.03 and 185.10 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.88 : 927.03 = 185.10 : x
  2. Step 2: Convert to fraction form
    617.88/927.03 = 185.10/x
  3. Step 3: Cross multiply
    617.88x = 927.03 × 185.10
  4. Step 4: Simplify right side
    617.88x = 171,593.25
  5. Step 5: Solve for x
    x = 171,593.25/617.88
  6. Step 6: Final answer
    x = 277.71

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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.