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Finding the Fourth Proportional to 187.11, 259.59 and 178.20

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Solution

The fourth proportional to 187.11, 259.59 and 178.20 is: 247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.11 : 259.59 = 178.20 : x
  2. Step 2: Convert to fraction form
    187.11/259.59 = 178.20/x
  3. Step 3: Cross multiply
    187.11x = 259.59 × 178.20
  4. Step 4: Simplify right side
    187.11x = 46,258.94
  5. Step 5: Solve for x
    x = 46,258.94/187.11
  6. Step 6: Final answer
    x = 247.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.