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Finding the Fourth Proportional to 437.72, 656.74 and 163.84

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Solution

The fourth proportional to 437.72, 656.74 and 163.84 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.72 : 656.74 = 163.84 : x
  2. Step 2: Convert to fraction form
    437.72/656.74 = 163.84/x
  3. Step 3: Cross multiply
    437.72x = 656.74 × 163.84
  4. Step 4: Simplify right side
    437.72x = 107,600.28
  5. Step 5: Solve for x
    x = 107,600.28/437.72
  6. Step 6: Final answer
    x = 245.82

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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.