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Finding the Fourth Proportional to 146.87, 201.05 and 142.21

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Solution

The fourth proportional to 146.87, 201.05 and 142.21 is: 194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.87 : 201.05 = 142.21 : x
  2. Step 2: Convert to fraction form
    146.87/201.05 = 142.21/x
  3. Step 3: Cross multiply
    146.87x = 201.05 × 142.21
  4. Step 4: Simplify right side
    146.87x = 28,591.32
  5. Step 5: Solve for x
    x = 28,591.32/146.87
  6. Step 6: Final answer
    x = 194.67

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Why These Related Problems?

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