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Finding the Fourth Proportional to 174.63, 261.97 and 78.44

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Solution

The fourth proportional to 174.63, 261.97 and 78.44 is: 117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.63 : 261.97 = 78.44 : x
  2. Step 2: Convert to fraction form
    174.63/261.97 = 78.44/x
  3. Step 3: Cross multiply
    174.63x = 261.97 × 78.44
  4. Step 4: Simplify right side
    174.63x = 20,548.93
  5. Step 5: Solve for x
    x = 20,548.93/174.63
  6. Step 6: Final answer
    x = 117.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.