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Finding the Fourth Proportional to 367.34, 506.76 and 212

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Solution

The fourth proportional to 367.34, 506.76 and 212 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.34 : 506.76 = 212 : x
  2. Step 2: Convert to fraction form
    367.34/506.76 = 212/x
  3. Step 3: Cross multiply
    367.34x = 506.76 × 212
  4. Step 4: Simplify right side
    367.34x = 107,433.12
  5. Step 5: Solve for x
    x = 107,433.12/367.34
  6. Step 6: Final answer
    x = 292.46

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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.