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Finding the Fourth Proportional to 197.87, 273.10 and 128

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Solution

The fourth proportional to 197.87, 273.10 and 128 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.87 : 273.10 = 128 : x
  2. Step 2: Convert to fraction form
    197.87/273.10 = 128/x
  3. Step 3: Cross multiply
    197.87x = 273.10 × 128
  4. Step 4: Simplify right side
    197.87x = 34,956.80
  5. Step 5: Solve for x
    x = 34,956.80/197.87
  6. Step 6: Final answer
    x = 176.67

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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.