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Finding the Fourth Proportional to 201.16, 299.98 and 199.34

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Solution

The fourth proportional to 201.16, 299.98 and 199.34 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.16 : 299.98 = 199.34 : x
  2. Step 2: Convert to fraction form
    201.16/299.98 = 199.34/x
  3. Step 3: Cross multiply
    201.16x = 299.98 × 199.34
  4. Step 4: Simplify right side
    201.16x = 59,796.01
  5. Step 5: Solve for x
    x = 59,796.01/201.16
  6. Step 6: Final answer
    x = 297.26

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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.