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Finding the Fourth Proportional to 618.18, 927.21 and 185.22

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Solution

The fourth proportional to 618.18, 927.21 and 185.22 is: 277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.18 : 927.21 = 185.22 : x
  2. Step 2: Convert to fraction form
    618.18/927.21 = 185.22/x
  3. Step 3: Cross multiply
    618.18x = 927.21 × 185.22
  4. Step 4: Simplify right side
    618.18x = 171,737.84
  5. Step 5: Solve for x
    x = 171,737.84/618.18
  6. Step 6: Final answer
    x = 277.81

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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.