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Finding the Fourth Proportional to 146.82, 201.37 and 143.16

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Solution

The fourth proportional to 146.82, 201.37 and 143.16 is: 196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 201.37 = 143.16 : x
  2. Step 2: Convert to fraction form
    146.82/201.37 = 143.16/x
  3. Step 3: Cross multiply
    146.82x = 201.37 × 143.16
  4. Step 4: Simplify right side
    146.82x = 28,827.77
  5. Step 5: Solve for x
    x = 28,827.77/146.82
  6. Step 6: Final answer
    x = 196.35

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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.