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Finding the Fourth Proportional to 312.09, 468.14 and 204.57

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Solution

The fourth proportional to 312.09, 468.14 and 204.57 is: 306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 468.14 = 204.57 : x
  2. Step 2: Convert to fraction form
    312.09/468.14 = 204.57/x
  3. Step 3: Cross multiply
    312.09x = 468.14 × 204.57
  4. Step 4: Simplify right side
    312.09x = 95,767.40
  5. Step 5: Solve for x
    x = 95,767.40/312.09
  6. Step 6: Final answer
    x = 306.86

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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.