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Finding the Fourth Proportional to 263.52, 394.96 and 223.20

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Solution

The fourth proportional to 263.52, 394.96 and 223.20 is: 334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.52 : 394.96 = 223.20 : x
  2. Step 2: Convert to fraction form
    263.52/394.96 = 223.20/x
  3. Step 3: Cross multiply
    263.52x = 394.96 × 223.20
  4. Step 4: Simplify right side
    263.52x = 88,155.07
  5. Step 5: Solve for x
    x = 88,155.07/263.52
  6. Step 6: Final answer
    x = 334.53

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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.