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Finding the Fourth Proportional to 199.08, 274.72 and 116.20

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Solution

The fourth proportional to 199.08, 274.72 and 116.20 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.08 : 274.72 = 116.20 : x
  2. Step 2: Convert to fraction form
    199.08/274.72 = 116.20/x
  3. Step 3: Cross multiply
    199.08x = 274.72 × 116.20
  4. Step 4: Simplify right side
    199.08x = 31,921.09
  5. Step 5: Solve for x
    x = 31,921.09/199.08
  6. Step 6: Final answer
    x = 160.34

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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.