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Finding the Fourth Proportional to 204.53, 282.09 and 149.31

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Solution

The fourth proportional to 204.53, 282.09 and 149.31 is: 205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 282.09 = 149.31 : x
  2. Step 2: Convert to fraction form
    204.53/282.09 = 149.31/x
  3. Step 3: Cross multiply
    204.53x = 282.09 × 149.31
  4. Step 4: Simplify right side
    204.53x = 42,118.86
  5. Step 5: Solve for x
    x = 42,118.86/204.53
  6. Step 6: Final answer
    x = 205.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.