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Finding the Fourth Proportional to 148.57, 205.00 and 143.37

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Solution

The fourth proportional to 148.57, 205.00 and 143.37 is: 197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 205.00 = 143.37 : x
  2. Step 2: Convert to fraction form
    148.57/205.00 = 143.37/x
  3. Step 3: Cross multiply
    148.57x = 205.00 × 143.37
  4. Step 4: Simplify right side
    148.57x = 29,390.49
  5. Step 5: Solve for x
    x = 29,390.49/148.57
  6. Step 6: Final answer
    x = 197.83

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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.