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Finding the Fourth Proportional to 264.49, 399.04 and 248.09

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Solution

The fourth proportional to 264.49, 399.04 and 248.09 is: 374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.49 : 399.04 = 248.09 : x
  2. Step 2: Convert to fraction form
    264.49/399.04 = 248.09/x
  3. Step 3: Cross multiply
    264.49x = 399.04 × 248.09
  4. Step 4: Simplify right side
    264.49x = 98,997.47
  5. Step 5: Solve for x
    x = 98,997.47/264.49
  6. Step 6: Final answer
    x = 374.30

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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.