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Finding the Fourth Proportional to 272.82, 376.20 and 207.30

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Solution

The fourth proportional to 272.82, 376.20 and 207.30 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.82 : 376.20 = 207.30 : x
  2. Step 2: Convert to fraction form
    272.82/376.20 = 207.30/x
  3. Step 3: Cross multiply
    272.82x = 376.20 × 207.30
  4. Step 4: Simplify right side
    272.82x = 77,986.26
  5. Step 5: Solve for x
    x = 77,986.26/272.82
  6. Step 6: Final answer
    x = 285.85

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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.