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Finding the Fourth Proportional to 253.18, 350.31 and 220.54

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Solution

The fourth proportional to 253.18, 350.31 and 220.54 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 350.31 = 220.54 : x
  2. Step 2: Convert to fraction form
    253.18/350.31 = 220.54/x
  3. Step 3: Cross multiply
    253.18x = 350.31 × 220.54
  4. Step 4: Simplify right side
    253.18x = 77,257.37
  5. Step 5: Solve for x
    x = 77,257.37/253.18
  6. Step 6: Final answer
    x = 305.15

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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.