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Finding the Fourth Proportional to 357.95, 494.09 and 227.13

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Solution

The fourth proportional to 357.95, 494.09 and 227.13 is: 313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.95 : 494.09 = 227.13 : x
  2. Step 2: Convert to fraction form
    357.95/494.09 = 227.13/x
  3. Step 3: Cross multiply
    357.95x = 494.09 × 227.13
  4. Step 4: Simplify right side
    357.95x = 112,222.66
  5. Step 5: Solve for x
    x = 112,222.66/357.95
  6. Step 6: Final answer
    x = 313.51

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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.