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Finding the Fourth Proportional to 157.56, 236.16 and 119.04

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Solution

The fourth proportional to 157.56, 236.16 and 119.04 is: 178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 236.16 = 119.04 : x
  2. Step 2: Convert to fraction form
    157.56/236.16 = 119.04/x
  3. Step 3: Cross multiply
    157.56x = 236.16 × 119.04
  4. Step 4: Simplify right side
    157.56x = 28,112.49
  5. Step 5: Solve for x
    x = 28,112.49/157.56
  6. Step 6: Final answer
    x = 178.42

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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.