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Finding the Fourth Proportional to 165.31, 228.20 and 106.31

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Solution

The fourth proportional to 165.31, 228.20 and 106.31 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.31 : 228.20 = 106.31 : x
  2. Step 2: Convert to fraction form
    165.31/228.20 = 106.31/x
  3. Step 3: Cross multiply
    165.31x = 228.20 × 106.31
  4. Step 4: Simplify right side
    165.31x = 24,259.98
  5. Step 5: Solve for x
    x = 24,259.98/165.31
  6. Step 6: Final answer
    x = 146.76

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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.