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Finding the Fourth Proportional to 825.52, 1,238.19 and 209.23

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Solution

The fourth proportional to 825.52, 1,238.19 and 209.23 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.52 : 1,238.19 = 209.23 : x
  2. Step 2: Convert to fraction form
    825.52/1,238.19 = 209.23/x
  3. Step 3: Cross multiply
    825.52x = 1,238.19 × 209.23
  4. Step 4: Simplify right side
    825.52x = 259,066.49
  5. Step 5: Solve for x
    x = 259,066.49/825.52
  6. Step 6: Final answer
    x = 313.82

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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.