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Finding the Fourth Proportional to 146.70, 201.26 and 135.90

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Solution

The fourth proportional to 146.70, 201.26 and 135.90 is: 186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.70 : 201.26 = 135.90 : x
  2. Step 2: Convert to fraction form
    146.70/201.26 = 135.90/x
  3. Step 3: Cross multiply
    146.70x = 201.26 × 135.90
  4. Step 4: Simplify right side
    146.70x = 27,350.55
  5. Step 5: Solve for x
    x = 27,350.55/146.70
  6. Step 6: Final answer
    x = 186.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.