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Finding the Fourth Proportional to 556.26, 833.82 and 190.80

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Solution

The fourth proportional to 556.26, 833.82 and 190.80 is: 286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.26 : 833.82 = 190.80 : x
  2. Step 2: Convert to fraction form
    556.26/833.82 = 190.80/x
  3. Step 3: Cross multiply
    556.26x = 833.82 × 190.80
  4. Step 4: Simplify right side
    556.26x = 159,092.86
  5. Step 5: Solve for x
    x = 159,092.86/556.26
  6. Step 6: Final answer
    x = 286.00

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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.