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Finding the Fourth Proportional to 213.52, 317.76 and 205.84

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Solution

The fourth proportional to 213.52, 317.76 and 205.84 is: 306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.52 : 317.76 = 205.84 : x
  2. Step 2: Convert to fraction form
    213.52/317.76 = 205.84/x
  3. Step 3: Cross multiply
    213.52x = 317.76 × 205.84
  4. Step 4: Simplify right side
    213.52x = 65,407.72
  5. Step 5: Solve for x
    x = 65,407.72/213.52
  6. Step 6: Final answer
    x = 306.33

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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.