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Finding the Fourth Proportional to 305.94, 422.12 and 212.58

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Solution

The fourth proportional to 305.94, 422.12 and 212.58 is: 293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 422.12 = 212.58 : x
  2. Step 2: Convert to fraction form
    305.94/422.12 = 212.58/x
  3. Step 3: Cross multiply
    305.94x = 422.12 × 212.58
  4. Step 4: Simplify right side
    305.94x = 89,733.21
  5. Step 5: Solve for x
    x = 89,733.21/305.94
  6. Step 6: Final answer
    x = 293.30

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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.