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Finding the Fourth Proportional to 223.25, 332.85 and 209.48

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Solution

The fourth proportional to 223.25, 332.85 and 209.48 is: 312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 332.85 = 209.48 : x
  2. Step 2: Convert to fraction form
    223.25/332.85 = 209.48/x
  3. Step 3: Cross multiply
    223.25x = 332.85 × 209.48
  4. Step 4: Simplify right side
    223.25x = 69,724.37
  5. Step 5: Solve for x
    x = 69,724.37/223.25
  6. Step 6: Final answer
    x = 312.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.