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Finding the Fourth Proportional to 199.02, 274.57 and 120.32

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Solution

The fourth proportional to 199.02, 274.57 and 120.32 is: 165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.02 : 274.57 = 120.32 : x
  2. Step 2: Convert to fraction form
    199.02/274.57 = 120.32/x
  3. Step 3: Cross multiply
    199.02x = 274.57 × 120.32
  4. Step 4: Simplify right side
    199.02x = 33,034.59
  5. Step 5: Solve for x
    x = 33,034.59/199.02
  6. Step 6: Final answer
    x = 165.99

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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.