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Finding the Fourth Proportional to 825.45, 1,238.21 and 209.16

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Solution

The fourth proportional to 825.45, 1,238.21 and 209.16 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.45 : 1,238.21 = 209.16 : x
  2. Step 2: Convert to fraction form
    825.45/1,238.21 = 209.16/x
  3. Step 3: Cross multiply
    825.45x = 1,238.21 × 209.16
  4. Step 4: Simplify right side
    825.45x = 258,976.77
  5. Step 5: Solve for x
    x = 258,976.77/825.45
  6. Step 6: Final answer
    x = 313.74

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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.