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Finding the Fourth Proportional to 366.93, 506.54 and 227.16

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Solution

The fourth proportional to 366.93, 506.54 and 227.16 is: 313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.93 : 506.54 = 227.16 : x
  2. Step 2: Convert to fraction form
    366.93/506.54 = 227.16/x
  3. Step 3: Cross multiply
    366.93x = 506.54 × 227.16
  4. Step 4: Simplify right side
    366.93x = 115,066.19
  5. Step 5: Solve for x
    x = 115,066.19/366.93
  6. Step 6: Final answer
    x = 313.59

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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.