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Finding the Fourth Proportional to 273.21, 409.77 and 78.24

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Solution

The fourth proportional to 273.21, 409.77 and 78.24 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.21 : 409.77 = 78.24 : x
  2. Step 2: Convert to fraction form
    273.21/409.77 = 78.24/x
  3. Step 3: Cross multiply
    273.21x = 409.77 × 78.24
  4. Step 4: Simplify right side
    273.21x = 32,060.90
  5. Step 5: Solve for x
    x = 32,060.90/273.21
  6. Step 6: Final answer
    x = 117.35

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Why These Related Problems?

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