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Finding the Fourth Proportional to 305.76, 422.09 and 207.67

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Solution

The fourth proportional to 305.76, 422.09 and 207.67 is: 286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.76 : 422.09 = 207.67 : x
  2. Step 2: Convert to fraction form
    305.76/422.09 = 207.67/x
  3. Step 3: Cross multiply
    305.76x = 422.09 × 207.67
  4. Step 4: Simplify right side
    305.76x = 87,655.43
  5. Step 5: Solve for x
    x = 87,655.43/305.76
  6. Step 6: Final answer
    x = 286.68

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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.