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Finding the Fourth Proportional to 273.95, 409.80 and 249.92

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Solution

The fourth proportional to 273.95, 409.80 and 249.92 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.95 : 409.80 = 249.92 : x
  2. Step 2: Convert to fraction form
    273.95/409.80 = 249.92/x
  3. Step 3: Cross multiply
    273.95x = 409.80 × 249.92
  4. Step 4: Simplify right side
    273.95x = 102,417.22
  5. Step 5: Solve for x
    x = 102,417.22/273.95
  6. Step 6: Final answer
    x = 373.85

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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.