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Finding the Fourth Proportional to 199.16, 274.88 and 116.27

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Solution

The fourth proportional to 199.16, 274.88 and 116.27 is: 160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.16 : 274.88 = 116.27 : x
  2. Step 2: Convert to fraction form
    199.16/274.88 = 116.27/x
  3. Step 3: Cross multiply
    199.16x = 274.88 × 116.27
  4. Step 4: Simplify right side
    199.16x = 31,958.34
  5. Step 5: Solve for x
    x = 31,958.34/199.16
  6. Step 6: Final answer
    x = 160.47

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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.