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Finding the Fourth Proportional to 201.27, 277.49 and 154.60

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Solution

The fourth proportional to 201.27, 277.49 and 154.60 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.27 : 277.49 = 154.60 : x
  2. Step 2: Convert to fraction form
    201.27/277.49 = 154.60/x
  3. Step 3: Cross multiply
    201.27x = 277.49 × 154.60
  4. Step 4: Simplify right side
    201.27x = 42,899.65
  5. Step 5: Solve for x
    x = 42,899.65/201.27
  6. Step 6: Final answer
    x = 213.14

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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.