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Finding the Fourth Proportional to 199.63, 275.50 and 120.94

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Solution

The fourth proportional to 199.63, 275.50 and 120.94 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.63 : 275.50 = 120.94 : x
  2. Step 2: Convert to fraction form
    199.63/275.50 = 120.94/x
  3. Step 3: Cross multiply
    199.63x = 275.50 × 120.94
  4. Step 4: Simplify right side
    199.63x = 33,318.97
  5. Step 5: Solve for x
    x = 33,318.97/199.63
  6. Step 6: Final answer
    x = 166.90

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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.