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Finding the Fourth Proportional to 204.52, 306.90 and 164.20

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Solution

The fourth proportional to 204.52, 306.90 and 164.20 is: 246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.52 : 306.90 = 164.20 : x
  2. Step 2: Convert to fraction form
    204.52/306.90 = 164.20/x
  3. Step 3: Cross multiply
    204.52x = 306.90 × 164.20
  4. Step 4: Simplify right side
    204.52x = 50,392.98
  5. Step 5: Solve for x
    x = 50,392.98/204.52
  6. Step 6: Final answer
    x = 246.40

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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.