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Finding the Fourth Proportional to 197.92, 271.64 and 176.08

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Solution

The fourth proportional to 197.92, 271.64 and 176.08 is: 241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.92 : 271.64 = 176.08 : x
  2. Step 2: Convert to fraction form
    197.92/271.64 = 176.08/x
  3. Step 3: Cross multiply
    197.92x = 271.64 × 176.08
  4. Step 4: Simplify right side
    197.92x = 47,830.37
  5. Step 5: Solve for x
    x = 47,830.37/197.92
  6. Step 6: Final answer
    x = 241.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.