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Finding the Fourth Proportional to 143.94, 214.59 and 140.37

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Solution

The fourth proportional to 143.94, 214.59 and 140.37 is: 209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.94 : 214.59 = 140.37 : x
  2. Step 2: Convert to fraction form
    143.94/214.59 = 140.37/x
  3. Step 3: Cross multiply
    143.94x = 214.59 × 140.37
  4. Step 4: Simplify right side
    143.94x = 30,122.00
  5. Step 5: Solve for x
    x = 30,122.00/143.94
  6. Step 6: Final answer
    x = 209.27

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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.