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Finding the Fourth Proportional to 293.66, 405.45 and 195.62

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Solution

The fourth proportional to 293.66, 405.45 and 195.62 is: 270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 405.45 = 195.62 : x
  2. Step 2: Convert to fraction form
    293.66/405.45 = 195.62/x
  3. Step 3: Cross multiply
    293.66x = 405.45 × 195.62
  4. Step 4: Simplify right side
    293.66x = 79,314.13
  5. Step 5: Solve for x
    x = 79,314.13/293.66
  6. Step 6: Final answer
    x = 270.09

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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.