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Finding the Fourth Proportional to 165.01, 226.10 and 162.58

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Solution

The fourth proportional to 165.01, 226.10 and 162.58 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.01 : 226.10 = 162.58 : x
  2. Step 2: Convert to fraction form
    165.01/226.10 = 162.58/x
  3. Step 3: Cross multiply
    165.01x = 226.10 × 162.58
  4. Step 4: Simplify right side
    165.01x = 36,759.34
  5. Step 5: Solve for x
    x = 36,759.34/165.01
  6. Step 6: Final answer
    x = 222.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.