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Finding the Fourth Proportional to 253.98, 349.60 and 219.12

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Solution

The fourth proportional to 253.98, 349.60 and 219.12 is: 301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 349.60 = 219.12 : x
  2. Step 2: Convert to fraction form
    253.98/349.60 = 219.12/x
  3. Step 3: Cross multiply
    253.98x = 349.60 × 219.12
  4. Step 4: Simplify right side
    253.98x = 76,604.35
  5. Step 5: Solve for x
    x = 76,604.35/253.98
  6. Step 6: Final answer
    x = 301.62

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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.