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Finding the Fourth Proportional to 174.83, 262.29 and 142.25

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Solution

The fourth proportional to 174.83, 262.29 and 142.25 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.83 : 262.29 = 142.25 : x
  2. Step 2: Convert to fraction form
    174.83/262.29 = 142.25/x
  3. Step 3: Cross multiply
    174.83x = 262.29 × 142.25
  4. Step 4: Simplify right side
    174.83x = 37,308.73
  5. Step 5: Solve for x
    x = 37,308.73/174.83
  6. Step 6: Final answer
    x = 213.41

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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.