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Finding the Fourth Proportional to 204.98, 282.80 and 117.62

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Solution

The fourth proportional to 204.98, 282.80 and 117.62 is: 162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 282.80 = 117.62 : x
  2. Step 2: Convert to fraction form
    204.98/282.80 = 117.62/x
  3. Step 3: Cross multiply
    204.98x = 282.80 × 117.62
  4. Step 4: Simplify right side
    204.98x = 33,262.94
  5. Step 5: Solve for x
    x = 33,262.94/204.98
  6. Step 6: Final answer
    x = 162.27

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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.