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Finding the Fourth Proportional to 201.18, 277.60 and 113.86

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Solution

The fourth proportional to 201.18, 277.60 and 113.86 is: 157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.18 : 277.60 = 113.86 : x
  2. Step 2: Convert to fraction form
    201.18/277.60 = 113.86/x
  3. Step 3: Cross multiply
    201.18x = 277.60 × 113.86
  4. Step 4: Simplify right side
    201.18x = 31,607.54
  5. Step 5: Solve for x
    x = 31,607.54/201.18
  6. Step 6: Final answer
    x = 157.11

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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.