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Finding the Fourth Proportional to 204.24, 305.84 and 101.36

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Solution

The fourth proportional to 204.24, 305.84 and 101.36 is: 151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 305.84 = 101.36 : x
  2. Step 2: Convert to fraction form
    204.24/305.84 = 101.36/x
  3. Step 3: Cross multiply
    204.24x = 305.84 × 101.36
  4. Step 4: Simplify right side
    204.24x = 30,999.94
  5. Step 5: Solve for x
    x = 30,999.94/204.24
  6. Step 6: Final answer
    x = 151.78

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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.