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Finding the Fourth Proportional to 219.67, 303.19 and 182.79

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Solution

The fourth proportional to 219.67, 303.19 and 182.79 is: 252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.67 : 303.19 = 182.79 : x
  2. Step 2: Convert to fraction form
    219.67/303.19 = 182.79/x
  3. Step 3: Cross multiply
    219.67x = 303.19 × 182.79
  4. Step 4: Simplify right side
    219.67x = 55,419.64
  5. Step 5: Solve for x
    x = 55,419.64/219.67
  6. Step 6: Final answer
    x = 252.29

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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.