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Finding the Fourth Proportional to 281.93, 389.13 and 163.99

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Solution

The fourth proportional to 281.93, 389.13 and 163.99 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.93 : 389.13 = 163.99 : x
  2. Step 2: Convert to fraction form
    281.93/389.13 = 163.99/x
  3. Step 3: Cross multiply
    281.93x = 389.13 × 163.99
  4. Step 4: Simplify right side
    281.93x = 63,813.43
  5. Step 5: Solve for x
    x = 63,813.43/281.93
  6. Step 6: Final answer
    x = 226.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.