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Finding the Fourth Proportional to 312.16, 430.22 and 229.16

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Solution

The fourth proportional to 312.16, 430.22 and 229.16 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.16 : 430.22 = 229.16 : x
  2. Step 2: Convert to fraction form
    312.16/430.22 = 229.16/x
  3. Step 3: Cross multiply
    312.16x = 430.22 × 229.16
  4. Step 4: Simplify right side
    312.16x = 98,589.22
  5. Step 5: Solve for x
    x = 98,589.22/312.16
  6. Step 6: Final answer
    x = 315.83

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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.