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Finding the Fourth Proportional to 201.12, 300.57 and 143.10

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Solution

The fourth proportional to 201.12, 300.57 and 143.10 is: 213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 300.57 = 143.10 : x
  2. Step 2: Convert to fraction form
    201.12/300.57 = 143.10/x
  3. Step 3: Cross multiply
    201.12x = 300.57 × 143.10
  4. Step 4: Simplify right side
    201.12x = 43,011.57
  5. Step 5: Solve for x
    x = 43,011.57/201.12
  6. Step 6: Final answer
    x = 213.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.