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Finding the Fourth Proportional to 209.52, 313.02 and 208.32

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Solution

The fourth proportional to 209.52, 313.02 and 208.32 is: 311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 313.02 = 208.32 : x
  2. Step 2: Convert to fraction form
    209.52/313.02 = 208.32/x
  3. Step 3: Cross multiply
    209.52x = 313.02 × 208.32
  4. Step 4: Simplify right side
    209.52x = 65,208.33
  5. Step 5: Solve for x
    x = 65,208.33/209.52
  6. Step 6: Final answer
    x = 311.23

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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.