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Finding the Fourth Proportional to 267.91, 369.74 and 202.30

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Solution

The fourth proportional to 267.91, 369.74 and 202.30 is: 279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.91 : 369.74 = 202.30 : x
  2. Step 2: Convert to fraction form
    267.91/369.74 = 202.30/x
  3. Step 3: Cross multiply
    267.91x = 369.74 × 202.30
  4. Step 4: Simplify right side
    267.91x = 74,798.40
  5. Step 5: Solve for x
    x = 74,798.40/267.91
  6. Step 6: Final answer
    x = 279.19

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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.