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Finding the Fourth Proportional to 255.82, 353.24 and 157.64

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Solution

The fourth proportional to 255.82, 353.24 and 157.64 is: 217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.82 : 353.24 = 157.64 : x
  2. Step 2: Convert to fraction form
    255.82/353.24 = 157.64/x
  3. Step 3: Cross multiply
    255.82x = 353.24 × 157.64
  4. Step 4: Simplify right side
    255.82x = 55,684.75
  5. Step 5: Solve for x
    x = 55,684.75/255.82
  6. Step 6: Final answer
    x = 217.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.