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Finding the Fourth Proportional to 204.80, 282.60 and 160.52

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Solution

The fourth proportional to 204.80, 282.60 and 160.52 is: 221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 282.60 = 160.52 : x
  2. Step 2: Convert to fraction form
    204.80/282.60 = 160.52/x
  3. Step 3: Cross multiply
    204.80x = 282.60 × 160.52
  4. Step 4: Simplify right side
    204.80x = 45,361.54
  5. Step 5: Solve for x
    x = 45,361.54/204.80
  6. Step 6: Final answer
    x = 221.50

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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.