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Finding the Fourth Proportional to 281.99, 389.09 and 163.93

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Solution

The fourth proportional to 281.99, 389.09 and 163.93 is: 226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.99 : 389.09 = 163.93 : x
  2. Step 2: Convert to fraction form
    281.99/389.09 = 163.93/x
  3. Step 3: Cross multiply
    281.99x = 389.09 × 163.93
  4. Step 4: Simplify right side
    281.99x = 63,782.96
  5. Step 5: Solve for x
    x = 63,782.96/281.99
  6. Step 6: Final answer
    x = 226.19

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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.