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Finding the Fourth Proportional to 556.12, 833.93 and 190.94

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Solution

The fourth proportional to 556.12, 833.93 and 190.94 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.12 : 833.93 = 190.94 : x
  2. Step 2: Convert to fraction form
    556.12/833.93 = 190.94/x
  3. Step 3: Cross multiply
    556.12x = 833.93 × 190.94
  4. Step 4: Simplify right side
    556.12x = 159,233.16
  5. Step 5: Solve for x
    x = 159,233.16/556.12
  6. Step 6: Final answer
    x = 286.33

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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.