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Finding the Fourth Proportional to 204.44, 306.02 and 146.12

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Solution

The fourth proportional to 204.44, 306.02 and 146.12 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.44 : 306.02 = 146.12 : x
  2. Step 2: Convert to fraction form
    204.44/306.02 = 146.12/x
  3. Step 3: Cross multiply
    204.44x = 306.02 × 146.12
  4. Step 4: Simplify right side
    204.44x = 44,715.64
  5. Step 5: Solve for x
    x = 44,715.64/204.44
  6. Step 6: Final answer
    x = 218.72

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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.