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Finding the Fourth Proportional to 201.16, 277.69 and 148.71

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Solution

The fourth proportional to 201.16, 277.69 and 148.71 is: 205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.16 : 277.69 = 148.71 : x
  2. Step 2: Convert to fraction form
    201.16/277.69 = 148.71/x
  3. Step 3: Cross multiply
    201.16x = 277.69 × 148.71
  4. Step 4: Simplify right side
    201.16x = 41,295.28
  5. Step 5: Solve for x
    x = 41,295.28/201.16
  6. Step 6: Final answer
    x = 205.29

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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.