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Finding the Fourth Proportional to 266.10, 364.82 and 262.07

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Solution

The fourth proportional to 266.10, 364.82 and 262.07 is: 359.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 364.82 = 262.07 : x
  2. Step 2: Convert to fraction form
    266.10/364.82 = 262.07/x
  3. Step 3: Cross multiply
    266.10x = 364.82 × 262.07
  4. Step 4: Simplify right side
    266.10x = 95,605.24
  5. Step 5: Solve for x
    x = 95,605.24/266.10
  6. Step 6: Final answer
    x = 359.28

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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.