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Finding the Fourth Proportional to 313.62, 432.92 and 212.70

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Solution

The fourth proportional to 313.62, 432.92 and 212.70 is: 293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 432.92 = 212.70 : x
  2. Step 2: Convert to fraction form
    313.62/432.92 = 212.70/x
  3. Step 3: Cross multiply
    313.62x = 432.92 × 212.70
  4. Step 4: Simplify right side
    313.62x = 92,082.08
  5. Step 5: Solve for x
    x = 92,082.08/313.62
  6. Step 6: Final answer
    x = 293.61

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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.