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Finding the Fourth Proportional to 267.07, 399.82 and 239.28

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Solution

The fourth proportional to 267.07, 399.82 and 239.28 is: 358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.07 : 399.82 = 239.28 : x
  2. Step 2: Convert to fraction form
    267.07/399.82 = 239.28/x
  3. Step 3: Cross multiply
    267.07x = 399.82 × 239.28
  4. Step 4: Simplify right side
    267.07x = 95,667.53
  5. Step 5: Solve for x
    x = 95,667.53/267.07
  6. Step 6: Final answer
    x = 358.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.