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Finding the Fourth Proportional to 187.87, 259.27 and 117.93

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Solution

The fourth proportional to 187.87, 259.27 and 117.93 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.87 : 259.27 = 117.93 : x
  2. Step 2: Convert to fraction form
    187.87/259.27 = 117.93/x
  3. Step 3: Cross multiply
    187.87x = 259.27 × 117.93
  4. Step 4: Simplify right side
    187.87x = 30,576.39
  5. Step 5: Solve for x
    x = 30,576.39/187.87
  6. Step 6: Final answer
    x = 162.75

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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.