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Finding the Fourth Proportional to 217.09, 299.76 and 143.55

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Solution

The fourth proportional to 217.09, 299.76 and 143.55 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.09 : 299.76 = 143.55 : x
  2. Step 2: Convert to fraction form
    217.09/299.76 = 143.55/x
  3. Step 3: Cross multiply
    217.09x = 299.76 × 143.55
  4. Step 4: Simplify right side
    217.09x = 43,030.55
  5. Step 5: Solve for x
    x = 43,030.55/217.09
  6. Step 6: Final answer
    x = 198.22

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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.