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Finding the Fourth Proportional to 343.23, 473.52 and 218.86

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Solution

The fourth proportional to 343.23, 473.52 and 218.86 is: 301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 473.52 = 218.86 : x
  2. Step 2: Convert to fraction form
    343.23/473.52 = 218.86/x
  3. Step 3: Cross multiply
    343.23x = 473.52 × 218.86
  4. Step 4: Simplify right side
    343.23x = 103,634.22
  5. Step 5: Solve for x
    x = 103,634.22/343.23
  6. Step 6: Final answer
    x = 301.94

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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.