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Finding the Fourth Proportional to 186.86, 257.51 and 134.30

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Solution

The fourth proportional to 186.86, 257.51 and 134.30 is: 185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 257.51 = 134.30 : x
  2. Step 2: Convert to fraction form
    186.86/257.51 = 134.30/x
  3. Step 3: Cross multiply
    186.86x = 257.51 × 134.30
  4. Step 4: Simplify right side
    186.86x = 34,584.57
  5. Step 5: Solve for x
    x = 34,584.57/186.86
  6. Step 6: Final answer
    x = 185.08

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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.