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Finding the Fourth Proportional to 179.62, 270.48 and 157.06

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Solution

The fourth proportional to 179.62, 270.48 and 157.06 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.62 : 270.48 = 157.06 : x
  2. Step 2: Convert to fraction form
    179.62/270.48 = 157.06/x
  3. Step 3: Cross multiply
    179.62x = 270.48 × 157.06
  4. Step 4: Simplify right side
    179.62x = 42,481.59
  5. Step 5: Solve for x
    x = 42,481.59/179.62
  6. Step 6: Final answer
    x = 236.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.