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Finding the Fourth Proportional to 537, 805 and 194.92

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Solution

The fourth proportional to 537, 805 and 194.92 is: 292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 805 = 194.92 : x
  2. Step 2: Convert to fraction form
    537/805 = 194.92/x
  3. Step 3: Cross multiply
    537x = 805 × 194.92
  4. Step 4: Simplify right side
    537x = 156,910.60
  5. Step 5: Solve for x
    x = 156,910.60/537
  6. Step 6: Final answer
    x = 292.20

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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.