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Finding the Fourth Proportional to 293.56, 405.45 and 195.14

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Solution

The fourth proportional to 293.56, 405.45 and 195.14 is: 269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.56 : 405.45 = 195.14 : x
  2. Step 2: Convert to fraction form
    293.56/405.45 = 195.14/x
  3. Step 3: Cross multiply
    293.56x = 405.45 × 195.14
  4. Step 4: Simplify right side
    293.56x = 79,120.53
  5. Step 5: Solve for x
    x = 79,120.53/293.56
  6. Step 6: Final answer
    x = 269.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.