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Finding the Fourth Proportional to 144.08, 199.68 and 140

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Solution

The fourth proportional to 144.08, 199.68 and 140 is: 194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.08 : 199.68 = 140 : x
  2. Step 2: Convert to fraction form
    144.08/199.68 = 140/x
  3. Step 3: Cross multiply
    144.08x = 199.68 × 140
  4. Step 4: Simplify right side
    144.08x = 27,955.20
  5. Step 5: Solve for x
    x = 27,955.20/144.08
  6. Step 6: Final answer
    x = 194.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.