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Finding the Fourth Proportional to 186.36, 280.98 and 171.36

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Solution

The fourth proportional to 186.36, 280.98 and 171.36 is: 258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.36 : 280.98 = 171.36 : x
  2. Step 2: Convert to fraction form
    186.36/280.98 = 171.36/x
  3. Step 3: Cross multiply
    186.36x = 280.98 × 171.36
  4. Step 4: Simplify right side
    186.36x = 48,148.73
  5. Step 5: Solve for x
    x = 48,148.73/186.36
  6. Step 6: Final answer
    x = 258.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.