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Finding the Fourth Proportional to 312.19, 468.25 and 209.52

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Solution

The fourth proportional to 312.19, 468.25 and 209.52 is: 314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 468.25 = 209.52 : x
  2. Step 2: Convert to fraction form
    312.19/468.25 = 209.52/x
  3. Step 3: Cross multiply
    312.19x = 468.25 × 209.52
  4. Step 4: Simplify right side
    312.19x = 98,107.22
  5. Step 5: Solve for x
    x = 98,107.22/312.19
  6. Step 6: Final answer
    x = 314.26

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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.