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Finding the Fourth Proportional to 267.60, 399.14 and 244.02

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Solution

The fourth proportional to 267.60, 399.14 and 244.02 is: 363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.60 : 399.14 = 244.02 : x
  2. Step 2: Convert to fraction form
    267.60/399.14 = 244.02/x
  3. Step 3: Cross multiply
    267.60x = 399.14 × 244.02
  4. Step 4: Simplify right side
    267.60x = 97,398.75
  5. Step 5: Solve for x
    x = 97,398.75/267.60
  6. Step 6: Final answer
    x = 363.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.