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Finding the Fourth Proportional to 366.96, 506.75 and 236.20

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Solution

The fourth proportional to 366.96, 506.75 and 236.20 is: 326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.96 : 506.75 = 236.20 : x
  2. Step 2: Convert to fraction form
    366.96/506.75 = 236.20/x
  3. Step 3: Cross multiply
    366.96x = 506.75 × 236.20
  4. Step 4: Simplify right side
    366.96x = 119,690.64
  5. Step 5: Solve for x
    x = 119,690.64/366.96
  6. Step 6: Final answer
    x = 326.17

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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.