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Finding the Fourth Proportional to 272.96, 376.80 and 204.16

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Solution

The fourth proportional to 272.96, 376.80 and 204.16 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.96 : 376.80 = 204.16 : x
  2. Step 2: Convert to fraction form
    272.96/376.80 = 204.16/x
  3. Step 3: Cross multiply
    272.96x = 376.80 × 204.16
  4. Step 4: Simplify right side
    272.96x = 76,927.49
  5. Step 5: Solve for x
    x = 76,927.49/272.96
  6. Step 6: Final answer
    x = 281.83

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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.