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Finding the Fourth Proportional to 157.25, 235.49 and 110.86

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Solution

The fourth proportional to 157.25, 235.49 and 110.86 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.25 : 235.49 = 110.86 : x
  2. Step 2: Convert to fraction form
    157.25/235.49 = 110.86/x
  3. Step 3: Cross multiply
    157.25x = 235.49 × 110.86
  4. Step 4: Simplify right side
    157.25x = 26,107.29
  5. Step 5: Solve for x
    x = 26,107.29/157.25
  6. Step 6: Final answer
    x = 166.02

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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.