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Finding the Fourth Proportional to 199.60, 275.49 and 120.94

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Solution

The fourth proportional to 199.60, 275.49 and 120.94 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.60 : 275.49 = 120.94 : x
  2. Step 2: Convert to fraction form
    199.60/275.49 = 120.94/x
  3. Step 3: Cross multiply
    199.60x = 275.49 × 120.94
  4. Step 4: Simplify right side
    199.60x = 33,317.76
  5. Step 5: Solve for x
    x = 33,317.76/199.60
  6. Step 6: Final answer
    x = 166.92

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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.