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Finding the Fourth Proportional to 201.28, 297.76 and 201.28

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Solution

The fourth proportional to 201.28, 297.76 and 201.28 is: 297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.28 : 297.76 = 201.28 : x
  2. Step 2: Convert to fraction form
    201.28/297.76 = 201.28/x
  3. Step 3: Cross multiply
    201.28x = 297.76 × 201.28
  4. Step 4: Simplify right side
    201.28x = 59,933.13
  5. Step 5: Solve for x
    x = 59,933.13/201.28
  6. Step 6: Final answer
    x = 297.76

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.