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Finding the Fourth Proportional to 204.65, 282.48 and 177.31

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Solution

The fourth proportional to 204.65, 282.48 and 177.31 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.65 : 282.48 = 177.31 : x
  2. Step 2: Convert to fraction form
    204.65/282.48 = 177.31/x
  3. Step 3: Cross multiply
    204.65x = 282.48 × 177.31
  4. Step 4: Simplify right side
    204.65x = 50,086.53
  5. Step 5: Solve for x
    x = 50,086.53/204.65
  6. Step 6: Final answer
    x = 244.74

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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.