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Finding the Fourth Proportional to 164.96, 226.24 and 158.34

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Solution

The fourth proportional to 164.96, 226.24 and 158.34 is: 217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.96 : 226.24 = 158.34 : x
  2. Step 2: Convert to fraction form
    164.96/226.24 = 158.34/x
  3. Step 3: Cross multiply
    164.96x = 226.24 × 158.34
  4. Step 4: Simplify right side
    164.96x = 35,822.84
  5. Step 5: Solve for x
    x = 35,822.84/164.96
  6. Step 6: Final answer
    x = 217.16

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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.