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Finding the Fourth Proportional to 619.70, 929.58 and 186.92

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Solution

The fourth proportional to 619.70, 929.58 and 186.92 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.70 : 929.58 = 186.92 : x
  2. Step 2: Convert to fraction form
    619.70/929.58 = 186.92/x
  3. Step 3: Cross multiply
    619.70x = 929.58 × 186.92
  4. Step 4: Simplify right side
    619.70x = 173,757.09
  5. Step 5: Solve for x
    x = 173,757.09/619.70
  6. Step 6: Final answer
    x = 280.39

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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.