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Finding the Fourth Proportional to 556.25, 834.47 and 190.95

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Solution

The fourth proportional to 556.25, 834.47 and 190.95 is: 286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.25 : 834.47 = 190.95 : x
  2. Step 2: Convert to fraction form
    556.25/834.47 = 190.95/x
  3. Step 3: Cross multiply
    556.25x = 834.47 × 190.95
  4. Step 4: Simplify right side
    556.25x = 159,342.05
  5. Step 5: Solve for x
    x = 159,342.05/556.25
  6. Step 6: Final answer
    x = 286.46

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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.