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Finding the Fourth Proportional to 283.24, 424.36 and 201.66

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Solution

The fourth proportional to 283.24, 424.36 and 201.66 is: 302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.24 : 424.36 = 201.66 : x
  2. Step 2: Convert to fraction form
    283.24/424.36 = 201.66/x
  3. Step 3: Cross multiply
    283.24x = 424.36 × 201.66
  4. Step 4: Simplify right side
    283.24x = 85,576.44
  5. Step 5: Solve for x
    x = 85,576.44/283.24
  6. Step 6: Final answer
    x = 302.13

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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.