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Finding the Fourth Proportional to 293.67, 405.68 and 219.83

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Solution

The fourth proportional to 293.67, 405.68 and 219.83 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.67 : 405.68 = 219.83 : x
  2. Step 2: Convert to fraction form
    293.67/405.68 = 219.83/x
  3. Step 3: Cross multiply
    293.67x = 405.68 × 219.83
  4. Step 4: Simplify right side
    293.67x = 89,177.51
  5. Step 5: Solve for x
    x = 89,177.51/293.67
  6. Step 6: Final answer
    x = 303.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.