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Finding the Fourth Proportional to 618.02, 926.87 and 179.27

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Solution

The fourth proportional to 618.02, 926.87 and 179.27 is: 268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.02 : 926.87 = 179.27 : x
  2. Step 2: Convert to fraction form
    618.02/926.87 = 179.27/x
  3. Step 3: Cross multiply
    618.02x = 926.87 × 179.27
  4. Step 4: Simplify right side
    618.02x = 166,154.45
  5. Step 5: Solve for x
    x = 166,154.45/618.02
  6. Step 6: Final answer
    x = 268.85

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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.