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Finding the Fourth Proportional to 186.76, 257.85 and 159.43

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Solution

The fourth proportional to 186.76, 257.85 and 159.43 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 257.85 = 159.43 : x
  2. Step 2: Convert to fraction form
    186.76/257.85 = 159.43/x
  3. Step 3: Cross multiply
    186.76x = 257.85 × 159.43
  4. Step 4: Simplify right side
    186.76x = 41,109.03
  5. Step 5: Solve for x
    x = 41,109.03/186.76
  6. Step 6: Final answer
    x = 220.12

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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.