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Finding the Fourth Proportional to 173.04, 238.83 and 164.34

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Solution

The fourth proportional to 173.04, 238.83 and 164.34 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.04 : 238.83 = 164.34 : x
  2. Step 2: Convert to fraction form
    173.04/238.83 = 164.34/x
  3. Step 3: Cross multiply
    173.04x = 238.83 × 164.34
  4. Step 4: Simplify right side
    173.04x = 39,249.32
  5. Step 5: Solve for x
    x = 39,249.32/173.04
  6. Step 6: Final answer
    x = 226.82

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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.