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Finding the Fourth Proportional to 229.72, 317.43 and 164.11

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Solution

The fourth proportional to 229.72, 317.43 and 164.11 is: 226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 317.43 = 164.11 : x
  2. Step 2: Convert to fraction form
    229.72/317.43 = 164.11/x
  3. Step 3: Cross multiply
    229.72x = 317.43 × 164.11
  4. Step 4: Simplify right side
    229.72x = 52,093.44
  5. Step 5: Solve for x
    x = 52,093.44/229.72
  6. Step 6: Final answer
    x = 226.77

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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.