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Finding the Fourth Proportional to 227.92, 314.68 and 184.16

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Solution

The fourth proportional to 227.92, 314.68 and 184.16 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 314.68 = 184.16 : x
  2. Step 2: Convert to fraction form
    227.92/314.68 = 184.16/x
  3. Step 3: Cross multiply
    227.92x = 314.68 × 184.16
  4. Step 4: Simplify right side
    227.92x = 57,951.47
  5. Step 5: Solve for x
    x = 57,951.47/227.92
  6. Step 6: Final answer
    x = 254.26

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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.