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Finding the Fourth Proportional to 252.12, 347.20 and 218.91

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Solution

The fourth proportional to 252.12, 347.20 and 218.91 is: 301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.12 : 347.20 = 218.91 : x
  2. Step 2: Convert to fraction form
    252.12/347.20 = 218.91/x
  3. Step 3: Cross multiply
    252.12x = 347.20 × 218.91
  4. Step 4: Simplify right side
    252.12x = 76,005.55
  5. Step 5: Solve for x
    x = 76,005.55/252.12
  6. Step 6: Final answer
    x = 301.47

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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.