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Finding the Fourth Proportional to 537.35, 805.91 and 190.90

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Solution

The fourth proportional to 537.35, 805.91 and 190.90 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.35 : 805.91 = 190.90 : x
  2. Step 2: Convert to fraction form
    537.35/805.91 = 190.90/x
  3. Step 3: Cross multiply
    537.35x = 805.91 × 190.90
  4. Step 4: Simplify right side
    537.35x = 153,847.26
  5. Step 5: Solve for x
    x = 153,847.26/537.35
  6. Step 6: Final answer
    x = 286.31

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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.