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Finding the Fourth Proportional to 267.62, 369.44 and 202.14

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Solution

The fourth proportional to 267.62, 369.44 and 202.14 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.62 : 369.44 = 202.14 : x
  2. Step 2: Convert to fraction form
    267.62/369.44 = 202.14/x
  3. Step 3: Cross multiply
    267.62x = 369.44 × 202.14
  4. Step 4: Simplify right side
    267.62x = 74,678.60
  5. Step 5: Solve for x
    x = 74,678.60/267.62
  6. Step 6: Final answer
    x = 279.05

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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.