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Finding the Fourth Proportional to 240.63, 331.92 and 157.80

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Solution

The fourth proportional to 240.63, 331.92 and 157.80 is: 217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.63 : 331.92 = 157.80 : x
  2. Step 2: Convert to fraction form
    240.63/331.92 = 157.80/x
  3. Step 3: Cross multiply
    240.63x = 331.92 × 157.80
  4. Step 4: Simplify right side
    240.63x = 52,376.98
  5. Step 5: Solve for x
    x = 52,376.98/240.63
  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.