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Finding the Fourth Proportional to 201.12, 275.42 and 190.02

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Solution

The fourth proportional to 201.12, 275.42 and 190.02 is: 260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 275.42 = 190.02 : x
  2. Step 2: Convert to fraction form
    201.12/275.42 = 190.02/x
  3. Step 3: Cross multiply
    201.12x = 275.42 × 190.02
  4. Step 4: Simplify right side
    201.12x = 52,334.36
  5. Step 5: Solve for x
    x = 52,334.36/201.12
  6. Step 6: Final answer
    x = 260.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.