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Finding the Fourth Proportional to 229.92, 317.06 and 164.52

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Solution

The fourth proportional to 229.92, 317.06 and 164.52 is: 226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 317.06 = 164.52 : x
  2. Step 2: Convert to fraction form
    229.92/317.06 = 164.52/x
  3. Step 3: Cross multiply
    229.92x = 317.06 × 164.52
  4. Step 4: Simplify right side
    229.92x = 52,161.89
  5. Step 5: Solve for x
    x = 52,161.89/229.92
  6. Step 6: Final answer
    x = 226.87

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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.