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Finding the Fourth Proportional to 204.53, 282.17 and 149.65

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Solution

The fourth proportional to 204.53, 282.17 and 149.65 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.53 : 282.17 = 149.65 : x
  2. Step 2: Convert to fraction form
    204.53/282.17 = 149.65/x
  3. Step 3: Cross multiply
    204.53x = 282.17 × 149.65
  4. Step 4: Simplify right side
    204.53x = 42,226.41
  5. Step 5: Solve for x
    x = 42,226.41/204.53
  6. Step 6: Final answer
    x = 206.46

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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.