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Finding the Fourth Proportional to 367.42, 506.93 and 236.50

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Solution

The fourth proportional to 367.42, 506.93 and 236.50 is: 326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.42 : 506.93 = 236.50 : x
  2. Step 2: Convert to fraction form
    367.42/506.93 = 236.50/x
  3. Step 3: Cross multiply
    367.42x = 506.93 × 236.50
  4. Step 4: Simplify right side
    367.42x = 119,889.22
  5. Step 5: Solve for x
    x = 119,889.22/367.42
  6. Step 6: Final answer
    x = 326.30

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