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Finding the Fourth Proportional to 272.73, 407.19 and 231.57

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Solution

The fourth proportional to 272.73, 407.19 and 231.57 is: 345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.73 : 407.19 = 231.57 : x
  2. Step 2: Convert to fraction form
    272.73/407.19 = 231.57/x
  3. Step 3: Cross multiply
    272.73x = 407.19 × 231.57
  4. Step 4: Simplify right side
    272.73x = 94,292.99
  5. Step 5: Solve for x
    x = 94,292.99/272.73
  6. Step 6: Final answer
    x = 345.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.