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Finding the Fourth Proportional to 229.42, 316.62 and 164.22

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Solution

The fourth proportional to 229.42, 316.62 and 164.22 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 316.62 = 164.22 : x
  2. Step 2: Convert to fraction form
    229.42/316.62 = 164.22/x
  3. Step 3: Cross multiply
    229.42x = 316.62 × 164.22
  4. Step 4: Simplify right side
    229.42x = 51,995.34
  5. Step 5: Solve for x
    x = 51,995.34/229.42
  6. Step 6: Final answer
    x = 226.64

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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.