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Finding the Fourth Proportional to 266.03, 366.77 and 182.99

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Solution

The fourth proportional to 266.03, 366.77 and 182.99 is: 252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.03 : 366.77 = 182.99 : x
  2. Step 2: Convert to fraction form
    266.03/366.77 = 182.99/x
  3. Step 3: Cross multiply
    266.03x = 366.77 × 182.99
  4. Step 4: Simplify right side
    266.03x = 67,114.33
  5. Step 5: Solve for x
    x = 67,114.33/266.03
  6. Step 6: Final answer
    x = 252.28

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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.