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Finding the Fourth Proportional to 281.96, 389.14 and 165.50

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Solution

The fourth proportional to 281.96, 389.14 and 165.50 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.96 : 389.14 = 165.50 : x
  2. Step 2: Convert to fraction form
    281.96/389.14 = 165.50/x
  3. Step 3: Cross multiply
    281.96x = 389.14 × 165.50
  4. Step 4: Simplify right side
    281.96x = 64,402.67
  5. Step 5: Solve for x
    x = 64,402.67/281.96
  6. Step 6: Final answer
    x = 228.41

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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.