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Finding the Fourth Proportional to 294.98, 407.31 and 201.92

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Solution

The fourth proportional to 294.98, 407.31 and 201.92 is: 278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 407.31 = 201.92 : x
  2. Step 2: Convert to fraction form
    294.98/407.31 = 201.92/x
  3. Step 3: Cross multiply
    294.98x = 407.31 × 201.92
  4. Step 4: Simplify right side
    294.98x = 82,244.04
  5. Step 5: Solve for x
    x = 82,244.04/294.98
  6. Step 6: Final answer
    x = 278.81

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