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Finding the Fourth Proportional to 174.67, 262.01 and 46.42

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Solution

The fourth proportional to 174.67, 262.01 and 46.42 is: 69.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.67 : 262.01 = 46.42 : x
  2. Step 2: Convert to fraction form
    174.67/262.01 = 46.42/x
  3. Step 3: Cross multiply
    174.67x = 262.01 × 46.42
  4. Step 4: Simplify right side
    174.67x = 12,162.50
  5. Step 5: Solve for x
    x = 12,162.50/174.67
  6. Step 6: Final answer
    x = 69.63

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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.