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Finding the Fourth Proportional to 204.80, 282.68 and 121.93

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Solution

The fourth proportional to 204.80, 282.68 and 121.93 is: 168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.80 : 282.68 = 121.93 : x
  2. Step 2: Convert to fraction form
    204.80/282.68 = 121.93/x
  3. Step 3: Cross multiply
    204.80x = 282.68 × 121.93
  4. Step 4: Simplify right side
    204.80x = 34,467.17
  5. Step 5: Solve for x
    x = 34,467.17/204.80
  6. Step 6: Final answer
    x = 168.30

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