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Finding the Fourth Proportional to 204.15, 305.78 and 158.14

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Solution

The fourth proportional to 204.15, 305.78 and 158.14 is: 236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.15 : 305.78 = 158.14 : x
  2. Step 2: Convert to fraction form
    204.15/305.78 = 158.14/x
  3. Step 3: Cross multiply
    204.15x = 305.78 × 158.14
  4. Step 4: Simplify right side
    204.15x = 48,354.49
  5. Step 5: Solve for x
    x = 48,354.49/204.15
  6. Step 6: Final answer
    x = 236.86

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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.