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Finding the Fourth Proportional to 293.80, 440.73 and 77.38

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Solution

The fourth proportional to 293.80, 440.73 and 77.38 is: 116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.80 : 440.73 = 77.38 : x
  2. Step 2: Convert to fraction form
    293.80/440.73 = 77.38/x
  3. Step 3: Cross multiply
    293.80x = 440.73 × 77.38
  4. Step 4: Simplify right side
    293.80x = 34,101.10
  5. Step 5: Solve for x
    x = 34,101.10/293.80
  6. Step 6: Final answer
    x = 116.07

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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.