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Finding the Fourth Proportional to 146.77, 202.44 and 141.94

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Solution

The fourth proportional to 146.77, 202.44 and 141.94 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.77 : 202.44 = 141.94 : x
  2. Step 2: Convert to fraction form
    146.77/202.44 = 141.94/x
  3. Step 3: Cross multiply
    146.77x = 202.44 × 141.94
  4. Step 4: Simplify right side
    146.77x = 28,733.54
  5. Step 5: Solve for x
    x = 28,733.54/146.77
  6. Step 6: Final answer
    x = 195.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.