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Finding the Fourth Proportional to 157.60, 236.31 and 92.62

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Solution

The fourth proportional to 157.60, 236.31 and 92.62 is: 138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 236.31 = 92.62 : x
  2. Step 2: Convert to fraction form
    157.60/236.31 = 92.62/x
  3. Step 3: Cross multiply
    157.60x = 236.31 × 92.62
  4. Step 4: Simplify right side
    157.60x = 21,886.79
  5. Step 5: Solve for x
    x = 21,886.79/157.60
  6. Step 6: Final answer
    x = 138.88

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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.