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Finding the Fourth Proportional to 199.25, 274.86 and 120.53

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Solution

The fourth proportional to 199.25, 274.86 and 120.53 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.25 : 274.86 = 120.53 : x
  2. Step 2: Convert to fraction form
    199.25/274.86 = 120.53/x
  3. Step 3: Cross multiply
    199.25x = 274.86 × 120.53
  4. Step 4: Simplify right side
    199.25x = 33,128.88
  5. Step 5: Solve for x
    x = 33,128.88/199.25
  6. Step 6: Final answer
    x = 166.27

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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.