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Finding the Fourth Proportional to 281.92, 389.06 and 165.55

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Solution

The fourth proportional to 281.92, 389.06 and 165.55 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.92 : 389.06 = 165.55 : x
  2. Step 2: Convert to fraction form
    281.92/389.06 = 165.55/x
  3. Step 3: Cross multiply
    281.92x = 389.06 × 165.55
  4. Step 4: Simplify right side
    281.92x = 64,407.35
  5. Step 5: Solve for x
    x = 64,407.35/281.92
  6. Step 6: Final answer
    x = 228.46

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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.