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Finding the Fourth Proportional to 226.47, 312.30 and 184.98

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Solution

The fourth proportional to 226.47, 312.30 and 184.98 is: 255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.47 : 312.30 = 184.98 : x
  2. Step 2: Convert to fraction form
    226.47/312.30 = 184.98/x
  3. Step 3: Cross multiply
    226.47x = 312.30 × 184.98
  4. Step 4: Simplify right side
    226.47x = 57,769.25
  5. Step 5: Solve for x
    x = 57,769.25/226.47
  6. Step 6: Final answer
    x = 255.09

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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.