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Finding the Fourth Proportional to 157.70, 236.18 and 111.90

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Solution

The fourth proportional to 157.70, 236.18 and 111.90 is: 167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 236.18 = 111.90 : x
  2. Step 2: Convert to fraction form
    157.70/236.18 = 111.90/x
  3. Step 3: Cross multiply
    157.70x = 236.18 × 111.90
  4. Step 4: Simplify right side
    157.70x = 26,428.54
  5. Step 5: Solve for x
    x = 26,428.54/157.70
  6. Step 6: Final answer
    x = 167.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.