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Finding the Fourth Proportional to 305.92, 422.04 and 228.16

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Solution

The fourth proportional to 305.92, 422.04 and 228.16 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 422.04 = 228.16 : x
  2. Step 2: Convert to fraction form
    305.92/422.04 = 228.16/x
  3. Step 3: Cross multiply
    305.92x = 422.04 × 228.16
  4. Step 4: Simplify right side
    305.92x = 96,292.65
  5. Step 5: Solve for x
    x = 96,292.65/305.92
  6. Step 6: Final answer
    x = 314.76

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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.