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Finding the Fourth Proportional to 312.65, 468.97 and 139.27

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Solution

The fourth proportional to 312.65, 468.97 and 139.27 is: 208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 468.97 = 139.27 : x
  2. Step 2: Convert to fraction form
    312.65/468.97 = 139.27/x
  3. Step 3: Cross multiply
    312.65x = 468.97 × 139.27
  4. Step 4: Simplify right side
    312.65x = 65,313.95
  5. Step 5: Solve for x
    x = 65,313.95/312.65
  6. Step 6: Final answer
    x = 208.91

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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.