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Finding the Fourth Proportional to 164.58, 225.83 and 162.96

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Solution

The fourth proportional to 164.58, 225.83 and 162.96 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 225.83 = 162.96 : x
  2. Step 2: Convert to fraction form
    164.58/225.83 = 162.96/x
  3. Step 3: Cross multiply
    164.58x = 225.83 × 162.96
  4. Step 4: Simplify right side
    164.58x = 36,801.26
  5. Step 5: Solve for x
    x = 36,801.26/164.58
  6. Step 6: Final answer
    x = 223.61

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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.