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Finding the Fourth Proportional to 201.13, 277.70 and 148.68

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Solution

The fourth proportional to 201.13, 277.70 and 148.68 is: 205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.13 : 277.70 = 148.68 : x
  2. Step 2: Convert to fraction form
    201.13/277.70 = 148.68/x
  3. Step 3: Cross multiply
    201.13x = 277.70 × 148.68
  4. Step 4: Simplify right side
    201.13x = 41,288.44
  5. Step 5: Solve for x
    x = 41,288.44/201.13
  6. Step 6: Final answer
    x = 205.28

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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.