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Finding the Fourth Proportional to 267.66, 399.40 and 265.36

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Solution

The fourth proportional to 267.66, 399.40 and 265.36 is: 395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.66 : 399.40 = 265.36 : x
  2. Step 2: Convert to fraction form
    267.66/399.40 = 265.36/x
  3. Step 3: Cross multiply
    267.66x = 399.40 × 265.36
  4. Step 4: Simplify right side
    267.66x = 105,984.78
  5. Step 5: Solve for x
    x = 105,984.78/267.66
  6. Step 6: Final answer
    x = 395.97

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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.