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Finding the Fourth Proportional to 228, 314.41 and 149.23

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Solution

The fourth proportional to 228, 314.41 and 149.23 is: 205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228 : 314.41 = 149.23 : x
  2. Step 2: Convert to fraction form
    228/314.41 = 149.23/x
  3. Step 3: Cross multiply
    228x = 314.41 × 149.23
  4. Step 4: Simplify right side
    228x = 46,919.40
  5. Step 5: Solve for x
    x = 46,919.40/228
  6. Step 6: Final answer
    x = 205.79

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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.