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Finding the Fourth Proportional to 229.30, 316.23 and 162.97

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Solution

The fourth proportional to 229.30, 316.23 and 162.97 is: 224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 316.23 = 162.97 : x
  2. Step 2: Convert to fraction form
    229.30/316.23 = 162.97/x
  3. Step 3: Cross multiply
    229.30x = 316.23 × 162.97
  4. Step 4: Simplify right side
    229.30x = 51,536.00
  5. Step 5: Solve for x
    x = 51,536.00/229.30
  6. Step 6: Final answer
    x = 224.75

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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.