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Finding the Fourth Proportional to 204.95, 282.55 and 149.69

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Solution

The fourth proportional to 204.95, 282.55 and 149.69 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.95 : 282.55 = 149.69 : x
  2. Step 2: Convert to fraction form
    204.95/282.55 = 149.69/x
  3. Step 3: Cross multiply
    204.95x = 282.55 × 149.69
  4. Step 4: Simplify right side
    204.95x = 42,295.62
  5. Step 5: Solve for x
    x = 42,295.62/204.95
  6. Step 6: Final answer
    x = 206.37

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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.