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Finding the Fourth Proportional to 143.25, 197.50 and 116.99

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Solution

The fourth proportional to 143.25, 197.50 and 116.99 is: 161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.25 : 197.50 = 116.99 : x
  2. Step 2: Convert to fraction form
    143.25/197.50 = 116.99/x
  3. Step 3: Cross multiply
    143.25x = 197.50 × 116.99
  4. Step 4: Simplify right side
    143.25x = 23,106.31
  5. Step 5: Solve for x
    x = 23,106.31/143.25
  6. Step 6: Final answer
    x = 161.30

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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.