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Finding the Fourth Proportional to 204.29, 281.58 and 157.65

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Solution

The fourth proportional to 204.29, 281.58 and 157.65 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 281.58 = 157.65 : x
  2. Step 2: Convert to fraction form
    204.29/281.58 = 157.65/x
  3. Step 3: Cross multiply
    204.29x = 281.58 × 157.65
  4. Step 4: Simplify right side
    204.29x = 44,389.44
  5. Step 5: Solve for x
    x = 44,389.44/204.29
  6. Step 6: Final answer
    x = 217.29

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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.