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Finding the Fourth Proportional to 194.68, 292.02 and 113.47

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Solution

The fourth proportional to 194.68, 292.02 and 113.47 is: 170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.68 : 292.02 = 113.47 : x
  2. Step 2: Convert to fraction form
    194.68/292.02 = 113.47/x
  3. Step 3: Cross multiply
    194.68x = 292.02 × 113.47
  4. Step 4: Simplify right side
    194.68x = 33,135.51
  5. Step 5: Solve for x
    x = 33,135.51/194.68
  6. Step 6: Final answer
    x = 170.21

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