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Finding the Fourth Proportional to 266.24, 399.93 and 163.59

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Solution

The fourth proportional to 266.24, 399.93 and 163.59 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 399.93 = 163.59 : x
  2. Step 2: Convert to fraction form
    266.24/399.93 = 163.59/x
  3. Step 3: Cross multiply
    266.24x = 399.93 × 163.59
  4. Step 4: Simplify right side
    266.24x = 65,424.55
  5. Step 5: Solve for x
    x = 65,424.55/266.24
  6. Step 6: Final answer
    x = 245.74

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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.