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Finding the Fourth Proportional to 165.82, 228.67 and 150.43

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Solution

The fourth proportional to 165.82, 228.67 and 150.43 is: 207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.82 : 228.67 = 150.43 : x
  2. Step 2: Convert to fraction form
    165.82/228.67 = 150.43/x
  3. Step 3: Cross multiply
    165.82x = 228.67 × 150.43
  4. Step 4: Simplify right side
    165.82x = 34,399.80
  5. Step 5: Solve for x
    x = 34,399.80/165.82
  6. Step 6: Final answer
    x = 207.45

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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.