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Finding the Fourth Proportional to 273.18, 409.85 and 78.18

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Solution

The fourth proportional to 273.18, 409.85 and 78.18 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.18 : 409.85 = 78.18 : x
  2. Step 2: Convert to fraction form
    273.18/409.85 = 78.18/x
  3. Step 3: Cross multiply
    273.18x = 409.85 × 78.18
  4. Step 4: Simplify right side
    273.18x = 32,041.68
  5. Step 5: Solve for x
    x = 32,041.68/273.18
  6. Step 6: Final answer
    x = 117.29

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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.