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Finding the Fourth Proportional to 201.40, 277.66 and 135.79

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Solution

The fourth proportional to 201.40, 277.66 and 135.79 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.40 : 277.66 = 135.79 : x
  2. Step 2: Convert to fraction form
    201.40/277.66 = 135.79/x
  3. Step 3: Cross multiply
    201.40x = 277.66 × 135.79
  4. Step 4: Simplify right side
    201.40x = 37,703.45
  5. Step 5: Solve for x
    x = 37,703.45/201.40
  6. Step 6: Final answer
    x = 187.21

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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.