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Finding the Fourth Proportional to 556.98, 835.60 and 166.96

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Solution

The fourth proportional to 556.98, 835.60 and 166.96 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.98 : 835.60 = 166.96 : x
  2. Step 2: Convert to fraction form
    556.98/835.60 = 166.96/x
  3. Step 3: Cross multiply
    556.98x = 835.60 × 166.96
  4. Step 4: Simplify right side
    556.98x = 139,511.78
  5. Step 5: Solve for x
    x = 139,511.78/556.98
  6. Step 6: Final answer
    x = 250.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.