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Finding the Fourth Proportional to 174.37, 241.75 and 164.65

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Solution

The fourth proportional to 174.37, 241.75 and 164.65 is: 228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.37 : 241.75 = 164.65 : x
  2. Step 2: Convert to fraction form
    174.37/241.75 = 164.65/x
  3. Step 3: Cross multiply
    174.37x = 241.75 × 164.65
  4. Step 4: Simplify right side
    174.37x = 39,803.73
  5. Step 5: Solve for x
    x = 39,803.73/174.37
  6. Step 6: Final answer
    x = 228.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.