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Finding the Fourth Proportional to 272.97, 376.76 and 202.30

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Solution

The fourth proportional to 272.97, 376.76 and 202.30 is: 279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 376.76 = 202.30 : x
  2. Step 2: Convert to fraction form
    272.97/376.76 = 202.30/x
  3. Step 3: Cross multiply
    272.97x = 376.76 × 202.30
  4. Step 4: Simplify right side
    272.97x = 76,219.52
  5. Step 5: Solve for x
    x = 76,219.52/272.97
  6. Step 6: Final answer
    x = 279.22

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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.