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Finding the Fourth Proportional to 437.95, 656.80 and 163.84

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Solution

The fourth proportional to 437.95, 656.80 and 163.84 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.95 : 656.80 = 163.84 : x
  2. Step 2: Convert to fraction form
    437.95/656.80 = 163.84/x
  3. Step 3: Cross multiply
    437.95x = 656.80 × 163.84
  4. Step 4: Simplify right side
    437.95x = 107,608.06
  5. Step 5: Solve for x
    x = 107,608.06/437.95
  6. Step 6: Final answer
    x = 245.71

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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.