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Finding the Fourth Proportional to 305.90, 422.01 and 212.86

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Solution

The fourth proportional to 305.90, 422.01 and 212.86 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.90 : 422.01 = 212.86 : x
  2. Step 2: Convert to fraction form
    305.90/422.01 = 212.86/x
  3. Step 3: Cross multiply
    305.90x = 422.01 × 212.86
  4. Step 4: Simplify right side
    305.90x = 89,829.05
  5. Step 5: Solve for x
    x = 89,829.05/305.90
  6. Step 6: Final answer
    x = 293.65

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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.