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Finding the Fourth Proportional to 219.61, 303.09 and 182.71

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Solution

The fourth proportional to 219.61, 303.09 and 182.71 is: 252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.61 : 303.09 = 182.71 : x
  2. Step 2: Convert to fraction form
    219.61/303.09 = 182.71/x
  3. Step 3: Cross multiply
    219.61x = 303.09 × 182.71
  4. Step 4: Simplify right side
    219.61x = 55,377.57
  5. Step 5: Solve for x
    x = 55,377.57/219.61
  6. Step 6: Final answer
    x = 252.16

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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.