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Finding the Fourth Proportional to 367.04, 506.40 and 211.68

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Solution

The fourth proportional to 367.04, 506.40 and 211.68 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.04 : 506.40 = 211.68 : x
  2. Step 2: Convert to fraction form
    367.04/506.40 = 211.68/x
  3. Step 3: Cross multiply
    367.04x = 506.40 × 211.68
  4. Step 4: Simplify right side
    367.04x = 107,194.75
  5. Step 5: Solve for x
    x = 107,194.75/367.04
  6. Step 6: Final answer
    x = 292.05

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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.