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Finding the Fourth Proportional to 368.23, 552.33 and 111.73

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Solution

The fourth proportional to 368.23, 552.33 and 111.73 is: 167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.23 : 552.33 = 111.73 : x
  2. Step 2: Convert to fraction form
    368.23/552.33 = 111.73/x
  3. Step 3: Cross multiply
    368.23x = 552.33 × 111.73
  4. Step 4: Simplify right side
    368.23x = 61,709.07
  5. Step 5: Solve for x
    x = 61,709.07/368.23
  6. Step 6: Final answer
    x = 167.59

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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.