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Finding the Fourth Proportional to 204.01, 305.65 and 138.75

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Solution

The fourth proportional to 204.01, 305.65 and 138.75 is: 207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.01 : 305.65 = 138.75 : x
  2. Step 2: Convert to fraction form
    204.01/305.65 = 138.75/x
  3. Step 3: Cross multiply
    204.01x = 305.65 × 138.75
  4. Step 4: Simplify right side
    204.01x = 42,408.94
  5. Step 5: Solve for x
    x = 42,408.94/204.01
  6. Step 6: Final answer
    x = 207.88

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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.