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Finding the Fourth Proportional to 164.35, 226.72 and 111.83

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Solution

The fourth proportional to 164.35, 226.72 and 111.83 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.35 : 226.72 = 111.83 : x
  2. Step 2: Convert to fraction form
    164.35/226.72 = 111.83/x
  3. Step 3: Cross multiply
    164.35x = 226.72 × 111.83
  4. Step 4: Simplify right side
    164.35x = 25,354.10
  5. Step 5: Solve for x
    x = 25,354.10/164.35
  6. Step 6: Final answer
    x = 154.27

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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.