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Finding the Fourth Proportional to 343.92, 474.46 and 194.47

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Solution

The fourth proportional to 343.92, 474.46 and 194.47 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 474.46 = 194.47 : x
  2. Step 2: Convert to fraction form
    343.92/474.46 = 194.47/x
  3. Step 3: Cross multiply
    343.92x = 474.46 × 194.47
  4. Step 4: Simplify right side
    343.92x = 92,268.24
  5. Step 5: Solve for x
    x = 92,268.24/343.92
  6. Step 6: Final answer
    x = 268.28

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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.