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Finding the Fourth Proportional to 194.67, 292.29 and 130.07

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Solution

The fourth proportional to 194.67, 292.29 and 130.07 is: 195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.67 : 292.29 = 130.07 : x
  2. Step 2: Convert to fraction form
    194.67/292.29 = 130.07/x
  3. Step 3: Cross multiply
    194.67x = 292.29 × 130.07
  4. Step 4: Simplify right side
    194.67x = 38,016.05
  5. Step 5: Solve for x
    x = 38,016.05/194.67
  6. Step 6: Final answer
    x = 195.29

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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.