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Finding the Fourth Proportional to 281.25, 388.31 and 263.81

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Solution

The fourth proportional to 281.25, 388.31 and 263.81 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 388.31 = 263.81 : x
  2. Step 2: Convert to fraction form
    281.25/388.31 = 263.81/x
  3. Step 3: Cross multiply
    281.25x = 388.31 × 263.81
  4. Step 4: Simplify right side
    281.25x = 102,439.71
  5. Step 5: Solve for x
    x = 102,439.71/281.25
  6. Step 6: Final answer
    x = 364.23

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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.