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Finding the Fourth Proportional to 194.70, 291.90 and 109.20

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Solution

The fourth proportional to 194.70, 291.90 and 109.20 is: 163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.70 : 291.90 = 109.20 : x
  2. Step 2: Convert to fraction form
    194.70/291.90 = 109.20/x
  3. Step 3: Cross multiply
    194.70x = 291.90 × 109.20
  4. Step 4: Simplify right side
    194.70x = 31,875.48
  5. Step 5: Solve for x
    x = 31,875.48/194.70
  6. Step 6: Final answer
    x = 163.72

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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.