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Finding the Fourth Proportional to 199.21, 274.92 and 116.31

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Solution

The fourth proportional to 199.21, 274.92 and 116.31 is: 160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.21 : 274.92 = 116.31 : x
  2. Step 2: Convert to fraction form
    199.21/274.92 = 116.31/x
  3. Step 3: Cross multiply
    199.21x = 274.92 × 116.31
  4. Step 4: Simplify right side
    199.21x = 31,975.95
  5. Step 5: Solve for x
    x = 31,975.95/199.21
  6. Step 6: Final answer
    x = 160.51

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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.