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Finding the Fourth Proportional to 213.73, 295.01 and 126.43

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Solution

The fourth proportional to 213.73, 295.01 and 126.43 is: 174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.73 : 295.01 = 126.43 : x
  2. Step 2: Convert to fraction form
    213.73/295.01 = 126.43/x
  3. Step 3: Cross multiply
    213.73x = 295.01 × 126.43
  4. Step 4: Simplify right side
    213.73x = 37,298.11
  5. Step 5: Solve for x
    x = 37,298.11/213.73
  6. Step 6: Final answer
    x = 174.51

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