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Finding the Fourth Proportional to 195.41, 293.11 and 51.13

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Solution

The fourth proportional to 195.41, 293.11 and 51.13 is: 76.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.41 : 293.11 = 51.13 : x
  2. Step 2: Convert to fraction form
    195.41/293.11 = 51.13/x
  3. Step 3: Cross multiply
    195.41x = 293.11 × 51.13
  4. Step 4: Simplify right side
    195.41x = 14,985.25
  5. Step 5: Solve for x
    x = 14,985.25/195.41
  6. Step 6: Final answer
    x = 76.69

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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.