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Finding the Fourth Proportional to 294.96, 406.83 and 201.56

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Solution

The fourth proportional to 294.96, 406.83 and 201.56 is: 278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 406.83 = 201.56 : x
  2. Step 2: Convert to fraction form
    294.96/406.83 = 201.56/x
  3. Step 3: Cross multiply
    294.96x = 406.83 × 201.56
  4. Step 4: Simplify right side
    294.96x = 82,000.65
  5. Step 5: Solve for x
    x = 82,000.65/294.96
  6. Step 6: Final answer
    x = 278.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.