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Finding the Fourth Proportional to 204.12, 305.64 and 149.40

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Solution

The fourth proportional to 204.12, 305.64 and 149.40 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 305.64 = 149.40 : x
  2. Step 2: Convert to fraction form
    204.12/305.64 = 149.40/x
  3. Step 3: Cross multiply
    204.12x = 305.64 × 149.40
  4. Step 4: Simplify right side
    204.12x = 45,662.62
  5. Step 5: Solve for x
    x = 45,662.62/204.12
  6. Step 6: Final answer
    x = 223.70

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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.