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Finding the Fourth Proportional to 199.23, 274.77 and 120.45

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Solution

The fourth proportional to 199.23, 274.77 and 120.45 is: 166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.23 : 274.77 = 120.45 : x
  2. Step 2: Convert to fraction form
    199.23/274.77 = 120.45/x
  3. Step 3: Cross multiply
    199.23x = 274.77 × 120.45
  4. Step 4: Simplify right side
    199.23x = 33,096.05
  5. Step 5: Solve for x
    x = 33,096.05/199.23
  6. Step 6: Final answer
    x = 166.12

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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.