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Finding the Fourth Proportional to 272.89, 376.29 and 202.83

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Solution

The fourth proportional to 272.89, 376.29 and 202.83 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.89 : 376.29 = 202.83 : x
  2. Step 2: Convert to fraction form
    272.89/376.29 = 202.83/x
  3. Step 3: Cross multiply
    272.89x = 376.29 × 202.83
  4. Step 4: Simplify right side
    272.89x = 76,322.83
  5. Step 5: Solve for x
    x = 76,322.83/272.89
  6. Step 6: Final answer
    x = 279.69

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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.