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Finding the Fourth Proportional to 204.70, 282.62 and 157.98

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Solution

The fourth proportional to 204.70, 282.62 and 157.98 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.70 : 282.62 = 157.98 : x
  2. Step 2: Convert to fraction form
    204.70/282.62 = 157.98/x
  3. Step 3: Cross multiply
    204.70x = 282.62 × 157.98
  4. Step 4: Simplify right side
    204.70x = 44,648.31
  5. Step 5: Solve for x
    x = 44,648.31/204.70
  6. Step 6: Final answer
    x = 218.12

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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.