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Finding the Fourth Proportional to 194.28, 291.29 and 140.15

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Solution

The fourth proportional to 194.28, 291.29 and 140.15 is: 210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.28 : 291.29 = 140.15 : x
  2. Step 2: Convert to fraction form
    194.28/291.29 = 140.15/x
  3. Step 3: Cross multiply
    194.28x = 291.29 × 140.15
  4. Step 4: Simplify right side
    194.28x = 40,822.14
  5. Step 5: Solve for x
    x = 40,822.14/194.28
  6. Step 6: Final answer
    x = 210.12

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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.