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Finding the Fourth Proportional to 226.16, 312.17 and 132.93

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Solution

The fourth proportional to 226.16, 312.17 and 132.93 is: 183.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 312.17 = 132.93 : x
  2. Step 2: Convert to fraction form
    226.16/312.17 = 132.93/x
  3. Step 3: Cross multiply
    226.16x = 312.17 × 132.93
  4. Step 4: Simplify right side
    226.16x = 41,496.09
  5. Step 5: Solve for x
    x = 41,496.09/226.16
  6. Step 6: Final answer
    x = 183.49

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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.