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Finding the Fourth Proportional to 264.78, 397.12 and 82.14

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Solution

The fourth proportional to 264.78, 397.12 and 82.14 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.78 : 397.12 = 82.14 : x
  2. Step 2: Convert to fraction form
    264.78/397.12 = 82.14/x
  3. Step 3: Cross multiply
    264.78x = 397.12 × 82.14
  4. Step 4: Simplify right side
    264.78x = 32,619.44
  5. Step 5: Solve for x
    x = 32,619.44/264.78
  6. Step 6: Final answer
    x = 123.19

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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.