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Finding the Fourth Proportional to 204.16, 281.82 and 155.20

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Solution

The fourth proportional to 204.16, 281.82 and 155.20 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.16 : 281.82 = 155.20 : x
  2. Step 2: Convert to fraction form
    204.16/281.82 = 155.20/x
  3. Step 3: Cross multiply
    204.16x = 281.82 × 155.20
  4. Step 4: Simplify right side
    204.16x = 43,738.46
  5. Step 5: Solve for x
    x = 43,738.46/204.16
  6. Step 6: Final answer
    x = 214.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.