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Finding the Fourth Proportional to 263.32, 394.99 and 177.21

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Solution

The fourth proportional to 263.32, 394.99 and 177.21 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.32 : 394.99 = 177.21 : x
  2. Step 2: Convert to fraction form
    263.32/394.99 = 177.21/x
  3. Step 3: Cross multiply
    263.32x = 394.99 × 177.21
  4. Step 4: Simplify right side
    263.32x = 69,995.73
  5. Step 5: Solve for x
    x = 69,995.73/263.32
  6. Step 6: Final answer
    x = 265.82

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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.