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Finding the Fourth Proportional to 229.38, 315.26 and 215.34

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Solution

The fourth proportional to 229.38, 315.26 and 215.34 is: 295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.38 : 315.26 = 215.34 : x
  2. Step 2: Convert to fraction form
    229.38/315.26 = 215.34/x
  3. Step 3: Cross multiply
    229.38x = 315.26 × 215.34
  4. Step 4: Simplify right side
    229.38x = 67,887.01
  5. Step 5: Solve for x
    x = 67,887.01/229.38
  6. Step 6: Final answer
    x = 295.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.