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Finding the Fourth Proportional to 229.81, 317.15 and 164.43

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Solution

The fourth proportional to 229.81, 317.15 and 164.43 is: 226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.81 : 317.15 = 164.43 : x
  2. Step 2: Convert to fraction form
    229.81/317.15 = 164.43/x
  3. Step 3: Cross multiply
    229.81x = 317.15 × 164.43
  4. Step 4: Simplify right side
    229.81x = 52,148.97
  5. Step 5: Solve for x
    x = 52,148.97/229.81
  6. Step 6: Final answer
    x = 226.92

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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.