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Finding the Fourth Proportional to 199.27, 274.98 and 116.40

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Solution

The fourth proportional to 199.27, 274.98 and 116.40 is: 160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.27 : 274.98 = 116.40 : x
  2. Step 2: Convert to fraction form
    199.27/274.98 = 116.40/x
  3. Step 3: Cross multiply
    199.27x = 274.98 × 116.40
  4. Step 4: Simplify right side
    199.27x = 32,007.67
  5. Step 5: Solve for x
    x = 32,007.67/199.27
  6. Step 6: Final answer
    x = 160.62

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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.