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Finding the Fourth Proportional to 343.24, 473.66 and 195.84

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Solution

The fourth proportional to 343.24, 473.66 and 195.84 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 473.66 = 195.84 : x
  2. Step 2: Convert to fraction form
    343.24/473.66 = 195.84/x
  3. Step 3: Cross multiply
    343.24x = 473.66 × 195.84
  4. Step 4: Simplify right side
    343.24x = 92,761.57
  5. Step 5: Solve for x
    x = 92,761.57/343.24
  6. Step 6: Final answer
    x = 270.25

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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.