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Finding the Fourth Proportional to 226.16, 337.74 and 182.88

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Solution

The fourth proportional to 226.16, 337.74 and 182.88 is: 273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 337.74 = 182.88 : x
  2. Step 2: Convert to fraction form
    226.16/337.74 = 182.88/x
  3. Step 3: Cross multiply
    226.16x = 337.74 × 182.88
  4. Step 4: Simplify right side
    226.16x = 61,765.89
  5. Step 5: Solve for x
    x = 61,765.89/226.16
  6. Step 6: Final answer
    x = 273.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.