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Finding the Fourth Proportional to 252.96, 378.84 and 219

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Solution

The fourth proportional to 252.96, 378.84 and 219 is: 327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 378.84 = 219 : x
  2. Step 2: Convert to fraction form
    252.96/378.84 = 219/x
  3. Step 3: Cross multiply
    252.96x = 378.84 × 219
  4. Step 4: Simplify right side
    252.96x = 82,965.96
  5. Step 5: Solve for x
    x = 82,965.96/252.96
  6. Step 6: Final answer
    x = 327.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.