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Finding the Fourth Proportional to 217.83, 325.05 and 194.75

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Solution

The fourth proportional to 217.83, 325.05 and 194.75 is: 290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 325.05 = 194.75 : x
  2. Step 2: Convert to fraction form
    217.83/325.05 = 194.75/x
  3. Step 3: Cross multiply
    217.83x = 325.05 × 194.75
  4. Step 4: Simplify right side
    217.83x = 63,303.49
  5. Step 5: Solve for x
    x = 63,303.49/217.83
  6. Step 6: Final answer
    x = 290.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.