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Finding the Fourth Proportional to 272.82, 376.46 and 154.78

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Solution

The fourth proportional to 272.82, 376.46 and 154.78 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.82 : 376.46 = 154.78 : x
  2. Step 2: Convert to fraction form
    272.82/376.46 = 154.78/x
  3. Step 3: Cross multiply
    272.82x = 376.46 × 154.78
  4. Step 4: Simplify right side
    272.82x = 58,268.48
  5. Step 5: Solve for x
    x = 58,268.48/272.82
  6. Step 6: Final answer
    x = 213.58

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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.