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Finding the Fourth Proportional to 264.83, 397.31 and 82.23

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Solution

The fourth proportional to 264.83, 397.31 and 82.23 is: 123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 397.31 = 82.23 : x
  2. Step 2: Convert to fraction form
    264.83/397.31 = 82.23/x
  3. Step 3: Cross multiply
    264.83x = 397.31 × 82.23
  4. Step 4: Simplify right side
    264.83x = 32,670.80
  5. Step 5: Solve for x
    x = 32,670.80/264.83
  6. Step 6: Final answer
    x = 123.37

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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.