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Finding the Fourth Proportional to 367.56, 551.35 and 111.06

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Solution

The fourth proportional to 367.56, 551.35 and 111.06 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.56 : 551.35 = 111.06 : x
  2. Step 2: Convert to fraction form
    367.56/551.35 = 111.06/x
  3. Step 3: Cross multiply
    367.56x = 551.35 × 111.06
  4. Step 4: Simplify right side
    367.56x = 61,233.75
  5. Step 5: Solve for x
    x = 61,233.75/367.56
  6. Step 6: Final answer
    x = 166.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.