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Finding the Fourth Proportional to 187.51, 258.27 and 157.96

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Solution

The fourth proportional to 187.51, 258.27 and 157.96 is: 217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.51 : 258.27 = 157.96 : x
  2. Step 2: Convert to fraction form
    187.51/258.27 = 157.96/x
  3. Step 3: Cross multiply
    187.51x = 258.27 × 157.96
  4. Step 4: Simplify right side
    187.51x = 40,796.33
  5. Step 5: Solve for x
    x = 40,796.33/187.51
  6. Step 6: Final answer
    x = 217.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.