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Finding the Fourth Proportional to 204.05, 305.91 and 95.78

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Solution

The fourth proportional to 204.05, 305.91 and 95.78 is: 143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.05 : 305.91 = 95.78 : x
  2. Step 2: Convert to fraction form
    204.05/305.91 = 95.78/x
  3. Step 3: Cross multiply
    204.05x = 305.91 × 95.78
  4. Step 4: Simplify right side
    204.05x = 29,300.82
  5. Step 5: Solve for x
    x = 29,300.82/204.05
  6. Step 6: Final answer
    x = 143.59

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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.