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Finding the Fourth Proportional to 204.02, 281.80 and 160.90

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Solution

The fourth proportional to 204.02, 281.80 and 160.90 is: 222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 281.80 = 160.90 : x
  2. Step 2: Convert to fraction form
    204.02/281.80 = 160.90/x
  3. Step 3: Cross multiply
    204.02x = 281.80 × 160.90
  4. Step 4: Simplify right side
    204.02x = 45,341.62
  5. Step 5: Solve for x
    x = 45,341.62/204.02
  6. Step 6: Final answer
    x = 222.24

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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.