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Finding the Fourth Proportional to 267.34, 402.79 and 241.69

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Solution

The fourth proportional to 267.34, 402.79 and 241.69 is: 364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.34 : 402.79 = 241.69 : x
  2. Step 2: Convert to fraction form
    267.34/402.79 = 241.69/x
  3. Step 3: Cross multiply
    267.34x = 402.79 × 241.69
  4. Step 4: Simplify right side
    267.34x = 97,350.32
  5. Step 5: Solve for x
    x = 97,350.32/267.34
  6. Step 6: Final answer
    x = 364.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.