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Finding the Fourth Proportional to 161.51, 241.82 and 122.34

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Solution

The fourth proportional to 161.51, 241.82 and 122.34 is: 183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.51 : 241.82 = 122.34 : x
  2. Step 2: Convert to fraction form
    161.51/241.82 = 122.34/x
  3. Step 3: Cross multiply
    161.51x = 241.82 × 122.34
  4. Step 4: Simplify right side
    161.51x = 29,583.65
  5. Step 5: Solve for x
    x = 29,583.65/161.51
  6. Step 6: Final answer
    x = 183.17

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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.