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Finding the Fourth Proportional to 537.31, 805.74 and 190.54

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Solution

The fourth proportional to 537.31, 805.74 and 190.54 is: 285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.31 : 805.74 = 190.54 : x
  2. Step 2: Convert to fraction form
    537.31/805.74 = 190.54/x
  3. Step 3: Cross multiply
    537.31x = 805.74 × 190.54
  4. Step 4: Simplify right side
    537.31x = 153,525.70
  5. Step 5: Solve for x
    x = 153,525.70/537.31
  6. Step 6: Final answer
    x = 285.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.