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Finding the Fourth Proportional to 194.22, 292.66 and 160.73

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Solution

The fourth proportional to 194.22, 292.66 and 160.73 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.22 : 292.66 = 160.73 : x
  2. Step 2: Convert to fraction form
    194.22/292.66 = 160.73/x
  3. Step 3: Cross multiply
    194.22x = 292.66 × 160.73
  4. Step 4: Simplify right side
    194.22x = 47,040.21
  5. Step 5: Solve for x
    x = 47,040.21/194.22
  6. Step 6: Final answer
    x = 242.20

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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.