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Finding the Fourth Proportional to 165.62, 228.25 and 118.92

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Solution

The fourth proportional to 165.62, 228.25 and 118.92 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.62 : 228.25 = 118.92 : x
  2. Step 2: Convert to fraction form
    165.62/228.25 = 118.92/x
  3. Step 3: Cross multiply
    165.62x = 228.25 × 118.92
  4. Step 4: Simplify right side
    165.62x = 27,141.75
  5. Step 5: Solve for x
    x = 27,141.75/165.62
  6. Step 6: Final answer
    x = 163.88

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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.