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Finding the Fourth Proportional to 301.51, 416.21 and 227.85

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Solution

The fourth proportional to 301.51, 416.21 and 227.85 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.51 : 416.21 = 227.85 : x
  2. Step 2: Convert to fraction form
    301.51/416.21 = 227.85/x
  3. Step 3: Cross multiply
    301.51x = 416.21 × 227.85
  4. Step 4: Simplify right side
    301.51x = 94,833.45
  5. Step 5: Solve for x
    x = 94,833.45/301.51
  6. Step 6: Final answer
    x = 314.53

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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.