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Finding the Fourth Proportional to 226.38, 312.21 and 148.74

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Solution

The fourth proportional to 226.38, 312.21 and 148.74 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.38 : 312.21 = 148.74 : x
  2. Step 2: Convert to fraction form
    226.38/312.21 = 148.74/x
  3. Step 3: Cross multiply
    226.38x = 312.21 × 148.74
  4. Step 4: Simplify right side
    226.38x = 46,438.12
  5. Step 5: Solve for x
    x = 46,438.12/226.38
  6. Step 6: Final answer
    x = 205.13

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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.