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Finding the Fourth Proportional to 266.37, 399.55 and 83.78

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Solution

The fourth proportional to 266.37, 399.55 and 83.78 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.37 : 399.55 = 83.78 : x
  2. Step 2: Convert to fraction form
    266.37/399.55 = 83.78/x
  3. Step 3: Cross multiply
    266.37x = 399.55 × 83.78
  4. Step 4: Simplify right side
    266.37x = 33,473.01
  5. Step 5: Solve for x
    x = 33,473.01/266.37
  6. Step 6: Final answer
    x = 125.66

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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.