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Finding the Fourth Proportional to 201.28, 277.62 and 149.08

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Solution

The fourth proportional to 201.28, 277.62 and 149.08 is: 205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.28 : 277.62 = 149.08 : x
  2. Step 2: Convert to fraction form
    201.28/277.62 = 149.08/x
  3. Step 3: Cross multiply
    201.28x = 277.62 × 149.08
  4. Step 4: Simplify right side
    201.28x = 41,387.59
  5. Step 5: Solve for x
    x = 41,387.59/201.28
  6. Step 6: Final answer
    x = 205.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.