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Finding the Fourth Proportional to 201.14, 277.18 and 135.53

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Solution

The fourth proportional to 201.14, 277.18 and 135.53 is: 186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 277.18 = 135.53 : x
  2. Step 2: Convert to fraction form
    201.14/277.18 = 135.53/x
  3. Step 3: Cross multiply
    201.14x = 277.18 × 135.53
  4. Step 4: Simplify right side
    201.14x = 37,564.48
  5. Step 5: Solve for x
    x = 37,564.48/201.14
  6. Step 6: Final answer
    x = 186.76

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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.