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Finding the Fourth Proportional to 264.68, 397.02 and 82.07

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Solution

The fourth proportional to 264.68, 397.02 and 82.07 is: 123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.68 : 397.02 = 82.07 : x
  2. Step 2: Convert to fraction form
    264.68/397.02 = 82.07/x
  3. Step 3: Cross multiply
    264.68x = 397.02 × 82.07
  4. Step 4: Simplify right side
    264.68x = 32,583.43
  5. Step 5: Solve for x
    x = 32,583.43/264.68
  6. Step 6: Final answer
    x = 123.11

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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.