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Finding the Fourth Proportional to 266.16, 399.12 and 103.84

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Solution

The fourth proportional to 266.16, 399.12 and 103.84 is: 155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.16 : 399.12 = 103.84 : x
  2. Step 2: Convert to fraction form
    266.16/399.12 = 103.84/x
  3. Step 3: Cross multiply
    266.16x = 399.12 × 103.84
  4. Step 4: Simplify right side
    266.16x = 41,444.62
  5. Step 5: Solve for x
    x = 41,444.62/266.16
  6. Step 6: Final answer
    x = 155.71

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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.