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Finding the Fourth Proportional to 229.57, 316.78 and 142.23

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Solution

The fourth proportional to 229.57, 316.78 and 142.23 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.57 : 316.78 = 142.23 : x
  2. Step 2: Convert to fraction form
    229.57/316.78 = 142.23/x
  3. Step 3: Cross multiply
    229.57x = 316.78 × 142.23
  4. Step 4: Simplify right side
    229.57x = 45,055.62
  5. Step 5: Solve for x
    x = 45,055.62/229.57
  6. Step 6: Final answer
    x = 196.26

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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.