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Finding the Fourth Proportional to 367.40, 506.92 and 210.00

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Solution

The fourth proportional to 367.40, 506.92 and 210.00 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.40 : 506.92 = 210.00 : x
  2. Step 2: Convert to fraction form
    367.40/506.92 = 210.00/x
  3. Step 3: Cross multiply
    367.40x = 506.92 × 210.00
  4. Step 4: Simplify right side
    367.40x = 106,450.67
  5. Step 5: Solve for x
    x = 106,450.67/367.40
  6. Step 6: Final answer
    x = 289.74

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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.