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Finding the Fourth Proportional to 180.46, 270.42 and 157.78

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Solution

The fourth proportional to 180.46, 270.42 and 157.78 is: 236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 270.42 = 157.78 : x
  2. Step 2: Convert to fraction form
    180.46/270.42 = 157.78/x
  3. Step 3: Cross multiply
    180.46x = 270.42 × 157.78
  4. Step 4: Simplify right side
    180.46x = 42,666.87
  5. Step 5: Solve for x
    x = 42,666.87/180.46
  6. Step 6: Final answer
    x = 236.43

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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.