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Finding the Fourth Proportional to 281.81, 388.91 and 165.44

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Solution

The fourth proportional to 281.81, 388.91 and 165.44 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 388.91 = 165.44 : x
  2. Step 2: Convert to fraction form
    281.81/388.91 = 165.44/x
  3. Step 3: Cross multiply
    281.81x = 388.91 × 165.44
  4. Step 4: Simplify right side
    281.81x = 64,342.66
  5. Step 5: Solve for x
    x = 64,342.66/281.81
  6. Step 6: Final answer
    x = 228.32

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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.