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Finding the Fourth Proportional to 204.67, 282.56 and 157.94

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Solution

The fourth proportional to 204.67, 282.56 and 157.94 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.67 : 282.56 = 157.94 : x
  2. Step 2: Convert to fraction form
    204.67/282.56 = 157.94/x
  3. Step 3: Cross multiply
    204.67x = 282.56 × 157.94
  4. Step 4: Simplify right side
    204.67x = 44,627.53
  5. Step 5: Solve for x
    x = 44,627.53/204.67
  6. Step 6: Final answer
    x = 218.05

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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.