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Finding the Fourth Proportional to 194.68, 291.96 and 106.81

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Solution

The fourth proportional to 194.68, 291.96 and 106.81 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 291.96 = 106.81 : x
  2. Step 2: Convert to fraction form
    194.68/291.96 = 106.81/x
  3. Step 3: Cross multiply
    194.68x = 291.96 × 106.81
  4. Step 4: Simplify right side
    194.68x = 31,184.25
  5. Step 5: Solve for x
    x = 31,184.25/194.68
  6. Step 6: Final answer
    x = 160.18

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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.