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Finding the Fourth Proportional to 204.75, 282.56 and 111.50

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Solution

The fourth proportional to 204.75, 282.56 and 111.50 is: 153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 282.56 = 111.50 : x
  2. Step 2: Convert to fraction form
    204.75/282.56 = 111.50/x
  3. Step 3: Cross multiply
    204.75x = 282.56 × 111.50
  4. Step 4: Simplify right side
    204.75x = 31,505.37
  5. Step 5: Solve for x
    x = 31,505.37/204.75
  6. Step 6: Final answer
    x = 153.87

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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.