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Finding the Fourth Proportional to 310.37, 427.58 and 216.95

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Solution

The fourth proportional to 310.37, 427.58 and 216.95 is: 298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 427.58 = 216.95 : x
  2. Step 2: Convert to fraction form
    310.37/427.58 = 216.95/x
  3. Step 3: Cross multiply
    310.37x = 427.58 × 216.95
  4. Step 4: Simplify right side
    310.37x = 92,761.89
  5. Step 5: Solve for x
    x = 92,761.89/310.37
  6. Step 6: Final answer
    x = 298.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.