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Finding the Fourth Proportional to 266.20, 397.21 and 264.68

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Solution

The fourth proportional to 266.20, 397.21 and 264.68 is: 394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 397.21 = 264.68 : x
  2. Step 2: Convert to fraction form
    266.20/397.21 = 264.68/x
  3. Step 3: Cross multiply
    266.20x = 397.21 × 264.68
  4. Step 4: Simplify right side
    266.20x = 105,133.54
  5. Step 5: Solve for x
    x = 105,133.54/266.20
  6. Step 6: Final answer
    x = 394.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.