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Finding the Fourth Proportional to 310.95, 428.96 and 194.45

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Solution

The fourth proportional to 310.95, 428.96 and 194.45 is: 268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.95 : 428.96 = 194.45 : x
  2. Step 2: Convert to fraction form
    310.95/428.96 = 194.45/x
  3. Step 3: Cross multiply
    310.95x = 428.96 × 194.45
  4. Step 4: Simplify right side
    310.95x = 83,408.15
  5. Step 5: Solve for x
    x = 83,408.15/310.95
  6. Step 6: Final answer
    x = 268.24

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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.