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Finding the Fourth Proportional to 267.85, 370.07 and 202.24

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Solution

The fourth proportional to 267.85, 370.07 and 202.24 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.85 : 370.07 = 202.24 : x
  2. Step 2: Convert to fraction form
    267.85/370.07 = 202.24/x
  3. Step 3: Cross multiply
    267.85x = 370.07 × 202.24
  4. Step 4: Simplify right side
    267.85x = 74,842.96
  5. Step 5: Solve for x
    x = 74,842.96/267.85
  6. Step 6: Final answer
    x = 279.42

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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.