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Finding the Fourth Proportional to 311.15, 465.86 and 213.45

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Solution

The fourth proportional to 311.15, 465.86 and 213.45 is: 319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.15 : 465.86 = 213.45 : x
  2. Step 2: Convert to fraction form
    311.15/465.86 = 213.45/x
  3. Step 3: Cross multiply
    311.15x = 465.86 × 213.45
  4. Step 4: Simplify right side
    311.15x = 99,436.60
  5. Step 5: Solve for x
    x = 99,436.60/311.15
  6. Step 6: Final answer
    x = 319.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.