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Finding the Fourth Proportional to 174.73, 240.93 and 164.14

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Solution

The fourth proportional to 174.73, 240.93 and 164.14 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.73 : 240.93 = 164.14 : x
  2. Step 2: Convert to fraction form
    174.73/240.93 = 164.14/x
  3. Step 3: Cross multiply
    174.73x = 240.93 × 164.14
  4. Step 4: Simplify right side
    174.73x = 39,544.22
  5. Step 5: Solve for x
    x = 39,544.22/174.73
  6. Step 6: Final answer
    x = 226.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.