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Finding the Fourth Proportional to 281.30, 388.22 and 170.77

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Solution

The fourth proportional to 281.30, 388.22 and 170.77 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.30 : 388.22 = 170.77 : x
  2. Step 2: Convert to fraction form
    281.30/388.22 = 170.77/x
  3. Step 3: Cross multiply
    281.30x = 388.22 × 170.77
  4. Step 4: Simplify right side
    281.30x = 66,296.33
  5. Step 5: Solve for x
    x = 66,296.33/281.30
  6. Step 6: Final answer
    x = 235.68

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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.