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Finding the Fourth Proportional to 194.68, 292.12 and 108.00

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Solution

The fourth proportional to 194.68, 292.12 and 108.00 is: 162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 292.12 = 108.00 : x
  2. Step 2: Convert to fraction form
    194.68/292.12 = 108.00/x
  3. Step 3: Cross multiply
    194.68x = 292.12 × 108.00
  4. Step 4: Simplify right side
    194.68x = 31,546.96
  5. Step 5: Solve for x
    x = 31,546.96/194.68
  6. Step 6: Final answer
    x = 162.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.