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Finding the Fourth Proportional to 266.04, 364.68 and 262.26

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Solution

The fourth proportional to 266.04, 364.68 and 262.26 is: 359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.04 : 364.68 = 262.26 : x
  2. Step 2: Convert to fraction form
    266.04/364.68 = 262.26/x
  3. Step 3: Cross multiply
    266.04x = 364.68 × 262.26
  4. Step 4: Simplify right side
    266.04x = 95,640.98
  5. Step 5: Solve for x
    x = 95,640.98/266.04
  6. Step 6: Final answer
    x = 359.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.