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Finding the Fourth Proportional to 312.39, 430.92 and 213.98

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Solution

The fourth proportional to 312.39, 430.92 and 213.98 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 430.92 = 213.98 : x
  2. Step 2: Convert to fraction form
    312.39/430.92 = 213.98/x
  3. Step 3: Cross multiply
    312.39x = 430.92 × 213.98
  4. Step 4: Simplify right side
    312.39x = 92,206.11
  5. Step 5: Solve for x
    x = 92,206.11/312.39
  6. Step 6: Final answer
    x = 295.16

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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.