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Finding the Fourth Proportional to 273.35, 409.98 and 78.38

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Solution

The fourth proportional to 273.35, 409.98 and 78.38 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.35 : 409.98 = 78.38 : x
  2. Step 2: Convert to fraction form
    273.35/409.98 = 78.38/x
  3. Step 3: Cross multiply
    273.35x = 409.98 × 78.38
  4. Step 4: Simplify right side
    273.35x = 32,134.01
  5. Step 5: Solve for x
    x = 32,134.01/273.35
  6. Step 6: Final answer
    x = 117.56

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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.