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Finding the Fourth Proportional to 618.41, 927.75 and 185.54

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Solution

The fourth proportional to 618.41, 927.75 and 185.54 is: 278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.41 : 927.75 = 185.54 : x
  2. Step 2: Convert to fraction form
    618.41/927.75 = 185.54/x
  3. Step 3: Cross multiply
    618.41x = 927.75 × 185.54
  4. Step 4: Simplify right side
    618.41x = 172,130.10
  5. Step 5: Solve for x
    x = 172,130.10/618.41
  6. Step 6: Final answer
    x = 278.34

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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.