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Finding the Fourth Proportional to 334.85, 462.15 and 203.90

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Solution

The fourth proportional to 334.85, 462.15 and 203.90 is: 281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.85 : 462.15 = 203.90 : x
  2. Step 2: Convert to fraction form
    334.85/462.15 = 203.90/x
  3. Step 3: Cross multiply
    334.85x = 462.15 × 203.90
  4. Step 4: Simplify right side
    334.85x = 94,230.07
  5. Step 5: Solve for x
    x = 94,230.07/334.85
  6. Step 6: Final answer
    x = 281.41

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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.