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Finding the Fourth Proportional to 389.25, 537.16 and 212.20

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Solution

The fourth proportional to 389.25, 537.16 and 212.20 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.25 : 537.16 = 212.20 : x
  2. Step 2: Convert to fraction form
    389.25/537.16 = 212.20/x
  3. Step 3: Cross multiply
    389.25x = 537.16 × 212.20
  4. Step 4: Simplify right side
    389.25x = 113,986.30
  5. Step 5: Solve for x
    x = 113,986.30/389.25
  6. Step 6: Final answer
    x = 292.84

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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.