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Finding the Fourth Proportional to 199.23, 274.97 and 116.32

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Solution

The fourth proportional to 199.23, 274.97 and 116.32 is: 160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.23 : 274.97 = 116.32 : x
  2. Step 2: Convert to fraction form
    199.23/274.97 = 116.32/x
  3. Step 3: Cross multiply
    199.23x = 274.97 × 116.32
  4. Step 4: Simplify right side
    199.23x = 31,984.51
  5. Step 5: Solve for x
    x = 31,984.51/199.23
  6. Step 6: Final answer
    x = 160.54

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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.