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Finding the Fourth Proportional to 186.66, 257.31 and 182.88

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Solution

The fourth proportional to 186.66, 257.31 and 182.88 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.66 : 257.31 = 182.88 : x
  2. Step 2: Convert to fraction form
    186.66/257.31 = 182.88/x
  3. Step 3: Cross multiply
    186.66x = 257.31 × 182.88
  4. Step 4: Simplify right side
    186.66x = 47,056.85
  5. Step 5: Solve for x
    x = 47,056.85/186.66
  6. Step 6: Final answer
    x = 252.10

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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.