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Finding the Fourth Proportional to 266.44, 368.16 and 213.92

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Solution

The fourth proportional to 266.44, 368.16 and 213.92 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.44 : 368.16 = 213.92 : x
  2. Step 2: Convert to fraction form
    266.44/368.16 = 213.92/x
  3. Step 3: Cross multiply
    266.44x = 368.16 × 213.92
  4. Step 4: Simplify right side
    266.44x = 78,756.79
  5. Step 5: Solve for x
    x = 78,756.79/266.44
  6. Step 6: Final answer
    x = 295.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.