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Finding the Fourth Proportional to 186.45, 256.73 and 160.23

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Solution

The fourth proportional to 186.45, 256.73 and 160.23 is: 220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.45 : 256.73 = 160.23 : x
  2. Step 2: Convert to fraction form
    186.45/256.73 = 160.23/x
  3. Step 3: Cross multiply
    186.45x = 256.73 × 160.23
  4. Step 4: Simplify right side
    186.45x = 41,135.05
  5. Step 5: Solve for x
    x = 41,135.05/186.45
  6. Step 6: Final answer
    x = 220.62

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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.