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Finding the Fourth Proportional to 199.03, 274.62 and 116.09

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Solution

The fourth proportional to 199.03, 274.62 and 116.09 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.03 : 274.62 = 116.09 : x
  2. Step 2: Convert to fraction form
    199.03/274.62 = 116.09/x
  3. Step 3: Cross multiply
    199.03x = 274.62 × 116.09
  4. Step 4: Simplify right side
    199.03x = 31,881.10
  5. Step 5: Solve for x
    x = 31,881.10/199.03
  6. Step 6: Final answer
    x = 160.18

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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.