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Finding the Fourth Proportional to 263.73, 363.96 and 175.16

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Solution

The fourth proportional to 263.73, 363.96 and 175.16 is: 241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.73 : 363.96 = 175.16 : x
  2. Step 2: Convert to fraction form
    263.73/363.96 = 175.16/x
  3. Step 3: Cross multiply
    263.73x = 363.96 × 175.16
  4. Step 4: Simplify right side
    263.73x = 63,749.41
  5. Step 5: Solve for x
    x = 63,749.41/263.73
  6. Step 6: Final answer
    x = 241.72

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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.