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Finding the Fourth Proportional to 293.95, 440.97 and 120.71

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Solution

The fourth proportional to 293.95, 440.97 and 120.71 is: 181.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 440.97 = 120.71 : x
  2. Step 2: Convert to fraction form
    293.95/440.97 = 120.71/x
  3. Step 3: Cross multiply
    293.95x = 440.97 × 120.71
  4. Step 4: Simplify right side
    293.95x = 53,229.49
  5. Step 5: Solve for x
    x = 53,229.49/293.95
  6. Step 6: Final answer
    x = 181.08

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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.