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Finding the Fourth Proportional to 204.24, 305.76 and 150.12

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Solution

The fourth proportional to 204.24, 305.76 and 150.12 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 305.76 = 150.12 : x
  2. Step 2: Convert to fraction form
    204.24/305.76 = 150.12/x
  3. Step 3: Cross multiply
    204.24x = 305.76 × 150.12
  4. Step 4: Simplify right side
    204.24x = 45,900.69
  5. Step 5: Solve for x
    x = 45,900.69/204.24
  6. Step 6: Final answer
    x = 224.74

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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.