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Finding the Fourth Proportional to 618.08, 926.66 and 227.87

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Solution

The fourth proportional to 618.08, 926.66 and 227.87 is: 341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.08 : 926.66 = 227.87 : x
  2. Step 2: Convert to fraction form
    618.08/926.66 = 227.87/x
  3. Step 3: Cross multiply
    618.08x = 926.66 × 227.87
  4. Step 4: Simplify right side
    618.08x = 211,160.90
  5. Step 5: Solve for x
    x = 211,160.90/618.08
  6. Step 6: Final answer
    x = 341.64

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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.