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Finding the Fourth Proportional to 305.22, 421.38 and 217.98

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Solution

The fourth proportional to 305.22, 421.38 and 217.98 is: 300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.22 : 421.38 = 217.98 : x
  2. Step 2: Convert to fraction form
    305.22/421.38 = 217.98/x
  3. Step 3: Cross multiply
    305.22x = 421.38 × 217.98
  4. Step 4: Simplify right side
    305.22x = 91,852.41
  5. Step 5: Solve for x
    x = 91,852.41/305.22
  6. Step 6: Final answer
    x = 300.94

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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.