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Finding the Fourth Proportional to 204.30, 305.82 and 143.52

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Solution

The fourth proportional to 204.30, 305.82 and 143.52 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.30 : 305.82 = 143.52 : x
  2. Step 2: Convert to fraction form
    204.30/305.82 = 143.52/x
  3. Step 3: Cross multiply
    204.30x = 305.82 × 143.52
  4. Step 4: Simplify right side
    204.30x = 43,891.29
  5. Step 5: Solve for x
    x = 43,891.29/204.30
  6. Step 6: Final answer
    x = 214.84

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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.