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Finding the Fourth Proportional to 264.76, 397.12 and 82.17

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Solution

The fourth proportional to 264.76, 397.12 and 82.17 is: 123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.76 : 397.12 = 82.17 : x
  2. Step 2: Convert to fraction form
    264.76/397.12 = 82.17/x
  3. Step 3: Cross multiply
    264.76x = 397.12 × 82.17
  4. Step 4: Simplify right side
    264.76x = 32,628.95
  5. Step 5: Solve for x
    x = 32,628.95/264.76
  6. Step 6: Final answer
    x = 123.24

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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.