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Finding the Fourth Proportional to 312.38, 431.08 and 229.22

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Solution

The fourth proportional to 312.38, 431.08 and 229.22 is: 316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 431.08 = 229.22 : x
  2. Step 2: Convert to fraction form
    312.38/431.08 = 229.22/x
  3. Step 3: Cross multiply
    312.38x = 431.08 × 229.22
  4. Step 4: Simplify right side
    312.38x = 98,809.43
  5. Step 5: Solve for x
    x = 98,809.43/312.38
  6. Step 6: Final answer
    x = 316.32

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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.