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Finding the Fourth Proportional to 262.99, 362.55 and 179.97

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Solution

The fourth proportional to 262.99, 362.55 and 179.97 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.99 : 362.55 = 179.97 : x
  2. Step 2: Convert to fraction form
    262.99/362.55 = 179.97/x
  3. Step 3: Cross multiply
    262.99x = 362.55 × 179.97
  4. Step 4: Simplify right side
    262.99x = 65,245.41
  5. Step 5: Solve for x
    x = 65,245.41/262.99
  6. Step 6: Final answer
    x = 248.09

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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.