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Finding the Fourth Proportional to 226.77, 313.58 and 183.84

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Solution

The fourth proportional to 226.77, 313.58 and 183.84 is: 254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.77 : 313.58 = 183.84 : x
  2. Step 2: Convert to fraction form
    226.77/313.58 = 183.84/x
  3. Step 3: Cross multiply
    226.77x = 313.58 × 183.84
  4. Step 4: Simplify right side
    226.77x = 57,649.01
  5. Step 5: Solve for x
    x = 57,649.01/226.77
  6. Step 6: Final answer
    x = 254.22

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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.