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Finding the Fourth Proportional to 226.04, 338.85 and 192.02

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Solution

The fourth proportional to 226.04, 338.85 and 192.02 is: 287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.04 : 338.85 = 192.02 : x
  2. Step 2: Convert to fraction form
    226.04/338.85 = 192.02/x
  3. Step 3: Cross multiply
    226.04x = 338.85 × 192.02
  4. Step 4: Simplify right side
    226.04x = 65,064.28
  5. Step 5: Solve for x
    x = 65,064.28/226.04
  6. Step 6: Final answer
    x = 287.85

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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.