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Finding the Fourth Proportional to 204.14, 281.80 and 157.50

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Solution

The fourth proportional to 204.14, 281.80 and 157.50 is: 217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.14 : 281.80 = 157.50 : x
  2. Step 2: Convert to fraction form
    204.14/281.80 = 157.50/x
  3. Step 3: Cross multiply
    204.14x = 281.80 × 157.50
  4. Step 4: Simplify right side
    204.14x = 44,383.50
  5. Step 5: Solve for x
    x = 44,383.50/204.14
  6. Step 6: Final answer
    x = 217.42

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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.