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Finding the Fourth Proportional to 314.09, 469.94 and 190.73

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Solution

The fourth proportional to 314.09, 469.94 and 190.73 is: 285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.09 : 469.94 = 190.73 : x
  2. Step 2: Convert to fraction form
    314.09/469.94 = 190.73/x
  3. Step 3: Cross multiply
    314.09x = 469.94 × 190.73
  4. Step 4: Simplify right side
    314.09x = 89,631.36
  5. Step 5: Solve for x
    x = 89,631.36/314.09
  6. Step 6: Final answer
    x = 285.37

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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.