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Finding the Fourth Proportional to 273.60, 409.47 and 165.47

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Solution

The fourth proportional to 273.60, 409.47 and 165.47 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.60 : 409.47 = 165.47 : x
  2. Step 2: Convert to fraction form
    273.60/409.47 = 165.47/x
  3. Step 3: Cross multiply
    273.60x = 409.47 × 165.47
  4. Step 4: Simplify right side
    273.60x = 67,752.95
  5. Step 5: Solve for x
    x = 67,752.95/273.60
  6. Step 6: Final answer
    x = 247.64

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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.