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Finding the Fourth Proportional to 229.64, 316.78 and 164.18

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Solution

The fourth proportional to 229.64, 316.78 and 164.18 is: 226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.64 : 316.78 = 164.18 : x
  2. Step 2: Convert to fraction form
    229.64/316.78 = 164.18/x
  3. Step 3: Cross multiply
    229.64x = 316.78 × 164.18
  4. Step 4: Simplify right side
    229.64x = 52,008.94
  5. Step 5: Solve for x
    x = 52,008.94/229.64
  6. Step 6: Final answer
    x = 226.48

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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.