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Finding the Fourth Proportional to 226.16, 312.16 and 148.40

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Solution

The fourth proportional to 226.16, 312.16 and 148.40 is: 204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.16 : 312.16 = 148.40 : x
  2. Step 2: Convert to fraction form
    226.16/312.16 = 148.40/x
  3. Step 3: Cross multiply
    226.16x = 312.16 × 148.40
  4. Step 4: Simplify right side
    226.16x = 46,324.54
  5. Step 5: Solve for x
    x = 46,324.54/226.16
  6. Step 6: Final answer
    x = 204.83

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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.