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Finding the Fourth Proportional to 215.80, 323.71 and 204.86

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Solution

The fourth proportional to 215.80, 323.71 and 204.86 is: 307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 323.71 = 204.86 : x
  2. Step 2: Convert to fraction form
    215.80/323.71 = 204.86/x
  3. Step 3: Cross multiply
    215.80x = 323.71 × 204.86
  4. Step 4: Simplify right side
    215.80x = 66,315.53
  5. Step 5: Solve for x
    x = 66,315.53/215.80
  6. Step 6: Final answer
    x = 307.30

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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.