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Finding the Fourth Proportional to 293.13, 441.44 and 212.54

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Solution

The fourth proportional to 293.13, 441.44 and 212.54 is: 320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.13 : 441.44 = 212.54 : x
  2. Step 2: Convert to fraction form
    293.13/441.44 = 212.54/x
  3. Step 3: Cross multiply
    293.13x = 441.44 × 212.54
  4. Step 4: Simplify right side
    293.13x = 93,820.39
  5. Step 5: Solve for x
    x = 93,820.39/293.13
  6. Step 6: Final answer
    x = 320.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.