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Finding the Fourth Proportional to 146.93, 201.48 and 141.78

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Solution

The fourth proportional to 146.93, 201.48 and 141.78 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.93 : 201.48 = 141.78 : x
  2. Step 2: Convert to fraction form
    146.93/201.48 = 141.78/x
  3. Step 3: Cross multiply
    146.93x = 201.48 × 141.78
  4. Step 4: Simplify right side
    146.93x = 28,565.13
  5. Step 5: Solve for x
    x = 28,565.13/146.93
  6. Step 6: Final answer
    x = 194.41

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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.