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Finding the Fourth Proportional to 264.80, 397.16 and 82.22

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Solution

The fourth proportional to 264.80, 397.16 and 82.22 is: 123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 397.16 = 82.22 : x
  2. Step 2: Convert to fraction form
    264.80/397.16 = 82.22/x
  3. Step 3: Cross multiply
    264.80x = 397.16 × 82.22
  4. Step 4: Simplify right side
    264.80x = 32,652.10
  5. Step 5: Solve for x
    x = 32,652.10/264.80
  6. Step 6: Final answer
    x = 123.31

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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.