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Finding the Fourth Proportional to 437.86, 656.45 and 163.95

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Solution

The fourth proportional to 437.86, 656.45 and 163.95 is: 245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.86 : 656.45 = 163.95 : x
  2. Step 2: Convert to fraction form
    437.86/656.45 = 163.95/x
  3. Step 3: Cross multiply
    437.86x = 656.45 × 163.95
  4. Step 4: Simplify right side
    437.86x = 107,624.98
  5. Step 5: Solve for x
    x = 107,624.98/437.86
  6. Step 6: Final answer
    x = 245.80

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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.