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Finding the Fourth Proportional to 143.30, 197.74 and 84.30

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Solution

The fourth proportional to 143.30, 197.74 and 84.30 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.30 : 197.74 = 84.30 : x
  2. Step 2: Convert to fraction form
    143.30/197.74 = 84.30/x
  3. Step 3: Cross multiply
    143.30x = 197.74 × 84.30
  4. Step 4: Simplify right side
    143.30x = 16,668.28
  5. Step 5: Solve for x
    x = 16,668.28/143.30
  6. Step 6: Final answer
    x = 116.32

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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.