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Finding the Fourth Proportional to 285.14, 427.56 and 163.64

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Solution

The fourth proportional to 285.14, 427.56 and 163.64 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.14 : 427.56 = 163.64 : x
  2. Step 2: Convert to fraction form
    285.14/427.56 = 163.64/x
  3. Step 3: Cross multiply
    285.14x = 427.56 × 163.64
  4. Step 4: Simplify right side
    285.14x = 69,965.92
  5. Step 5: Solve for x
    x = 69,965.92/285.14
  6. Step 6: Final answer
    x = 245.37

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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.