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Finding the Fourth Proportional to 556.18, 834.41 and 190.97

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Solution

The fourth proportional to 556.18, 834.41 and 190.97 is: 286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.18 : 834.41 = 190.97 : x
  2. Step 2: Convert to fraction form
    556.18/834.41 = 190.97/x
  3. Step 3: Cross multiply
    556.18x = 834.41 × 190.97
  4. Step 4: Simplify right side
    556.18x = 159,346.32
  5. Step 5: Solve for x
    x = 159,346.32/556.18
  6. Step 6: Final answer
    x = 286.50

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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.