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Finding the Fourth Proportional to 285.46, 427.13 and 201.82

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Solution

The fourth proportional to 285.46, 427.13 and 201.82 is: 301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.46 : 427.13 = 201.82 : x
  2. Step 2: Convert to fraction form
    285.46/427.13 = 201.82/x
  3. Step 3: Cross multiply
    285.46x = 427.13 × 201.82
  4. Step 4: Simplify right side
    285.46x = 86,203.38
  5. Step 5: Solve for x
    x = 86,203.38/285.46
  6. Step 6: Final answer
    x = 301.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.