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Finding the Fourth Proportional to 266.28, 399.30 and 83.64

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Solution

The fourth proportional to 266.28, 399.30 and 83.64 is: 125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.28 : 399.30 = 83.64 : x
  2. Step 2: Convert to fraction form
    266.28/399.30 = 83.64/x
  3. Step 3: Cross multiply
    266.28x = 399.30 × 83.64
  4. Step 4: Simplify right side
    266.28x = 33,397.45
  5. Step 5: Solve for x
    x = 33,397.45/266.28
  6. Step 6: Final answer
    x = 125.42

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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.