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Finding the Fourth Proportional to 312.33, 431.30 and 201.99

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Solution

The fourth proportional to 312.33, 431.30 and 201.99 is: 278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.33 : 431.30 = 201.99 : x
  2. Step 2: Convert to fraction form
    312.33/431.30 = 201.99/x
  3. Step 3: Cross multiply
    312.33x = 431.30 × 201.99
  4. Step 4: Simplify right side
    312.33x = 87,118.29
  5. Step 5: Solve for x
    x = 87,118.29/312.33
  6. Step 6: Final answer
    x = 278.93

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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.