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Finding the Fourth Proportional to 146.57, 203.14 and 143.84

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Solution

The fourth proportional to 146.57, 203.14 and 143.84 is: 199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 203.14 = 143.84 : x
  2. Step 2: Convert to fraction form
    146.57/203.14 = 143.84/x
  3. Step 3: Cross multiply
    146.57x = 203.14 × 143.84
  4. Step 4: Simplify right side
    146.57x = 29,219.66
  5. Step 5: Solve for x
    x = 29,219.66/146.57
  6. Step 6: Final answer
    x = 199.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.