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Finding the Fourth Proportional to 204.07, 281.58 and 115.53

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Solution

The fourth proportional to 204.07, 281.58 and 115.53 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.07 : 281.58 = 115.53 : x
  2. Step 2: Convert to fraction form
    204.07/281.58 = 115.53/x
  3. Step 3: Cross multiply
    204.07x = 281.58 × 115.53
  4. Step 4: Simplify right side
    204.07x = 32,530.94
  5. Step 5: Solve for x
    x = 32,530.94/204.07
  6. Step 6: Final answer
    x = 159.41

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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.