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Finding the Fourth Proportional to 312.27, 468.14 and 190.64

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Solution

The fourth proportional to 312.27, 468.14 and 190.64 is: 285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.27 : 468.14 = 190.64 : x
  2. Step 2: Convert to fraction form
    312.27/468.14 = 190.64/x
  3. Step 3: Cross multiply
    312.27x = 468.14 × 190.64
  4. Step 4: Simplify right side
    312.27x = 89,242.92
  5. Step 5: Solve for x
    x = 89,242.92/312.27
  6. Step 6: Final answer
    x = 285.79

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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.