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Finding the Fourth Proportional to 334.06, 461.04 and 203.20

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Solution

The fourth proportional to 334.06, 461.04 and 203.20 is: 280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.06 : 461.04 = 203.20 : x
  2. Step 2: Convert to fraction form
    334.06/461.04 = 203.20/x
  3. Step 3: Cross multiply
    334.06x = 461.04 × 203.20
  4. Step 4: Simplify right side
    334.06x = 93,683.33
  5. Step 5: Solve for x
    x = 93,683.33/334.06
  6. Step 6: Final answer
    x = 280.44

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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.