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Finding the Fourth Proportional to 194.05, 292.41 and 160.56

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Solution

The fourth proportional to 194.05, 292.41 and 160.56 is: 241.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.05 : 292.41 = 160.56 : x
  2. Step 2: Convert to fraction form
    194.05/292.41 = 160.56/x
  3. Step 3: Cross multiply
    194.05x = 292.41 × 160.56
  4. Step 4: Simplify right side
    194.05x = 46,949.84
  5. Step 5: Solve for x
    x = 46,949.84/194.05
  6. Step 6: Final answer
    x = 241.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.