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Finding the Fourth Proportional to 367.37, 506.95 and 210.02

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Solution

The fourth proportional to 367.37, 506.95 and 210.02 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.37 : 506.95 = 210.02 : x
  2. Step 2: Convert to fraction form
    367.37/506.95 = 210.02/x
  3. Step 3: Cross multiply
    367.37x = 506.95 × 210.02
  4. Step 4: Simplify right side
    367.37x = 106,467.37
  5. Step 5: Solve for x
    x = 106,467.37/367.37
  6. Step 6: Final answer
    x = 289.81

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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.