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Finding the Fourth Proportional to 201.12, 277.68 and 135.60

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Solution

The fourth proportional to 201.12, 277.68 and 135.60 is: 187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 277.68 = 135.60 : x
  2. Step 2: Convert to fraction form
    201.12/277.68 = 135.60/x
  3. Step 3: Cross multiply
    201.12x = 277.68 × 135.60
  4. Step 4: Simplify right side
    201.12x = 37,653.41
  5. Step 5: Solve for x
    x = 37,653.41/201.12
  6. Step 6: Final answer
    x = 187.22

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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.