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Finding the Fourth Proportional to 657.82, 986.73 and 170.83

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Solution

The fourth proportional to 657.82, 986.73 and 170.83 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.82 : 986.73 = 170.83 : x
  2. Step 2: Convert to fraction form
    657.82/986.73 = 170.83/x
  3. Step 3: Cross multiply
    657.82x = 986.73 × 170.83
  4. Step 4: Simplify right side
    657.82x = 168,562.23
  5. Step 5: Solve for x
    x = 168,562.23/657.82
  6. Step 6: Final answer
    x = 256.25

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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.