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Finding the Fourth Proportional to 266.49, 399.75 and 83.84

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Solution

The fourth proportional to 266.49, 399.75 and 83.84 is: 125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.49 : 399.75 = 83.84 : x
  2. Step 2: Convert to fraction form
    266.49/399.75 = 83.84/x
  3. Step 3: Cross multiply
    266.49x = 399.75 × 83.84
  4. Step 4: Simplify right side
    266.49x = 33,513.04
  5. Step 5: Solve for x
    x = 33,513.04/266.49
  6. Step 6: Final answer
    x = 125.76

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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.