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Finding the Fourth Proportional to 273.16, 411.20 and 235.48

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Solution

The fourth proportional to 273.16, 411.20 and 235.48 is: 354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.16 : 411.20 = 235.48 : x
  2. Step 2: Convert to fraction form
    273.16/411.20 = 235.48/x
  3. Step 3: Cross multiply
    273.16x = 411.20 × 235.48
  4. Step 4: Simplify right side
    273.16x = 96,829.38
  5. Step 5: Solve for x
    x = 96,829.38/273.16
  6. Step 6: Final answer
    x = 354.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.