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Finding the Fourth Proportional to 272.14, 407.81 and 203.61

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Solution

The fourth proportional to 272.14, 407.81 and 203.61 is: 305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 407.81 = 203.61 : x
  2. Step 2: Convert to fraction form
    272.14/407.81 = 203.61/x
  3. Step 3: Cross multiply
    272.14x = 407.81 × 203.61
  4. Step 4: Simplify right side
    272.14x = 83,034.19
  5. Step 5: Solve for x
    x = 83,034.19/272.14
  6. Step 6: Final answer
    x = 305.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.