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Finding the Fourth Proportional to 186.28, 257.22 and 157.32

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Solution

The fourth proportional to 186.28, 257.22 and 157.32 is: 217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.28 : 257.22 = 157.32 : x
  2. Step 2: Convert to fraction form
    186.28/257.22 = 157.32/x
  3. Step 3: Cross multiply
    186.28x = 257.22 × 157.32
  4. Step 4: Simplify right side
    186.28x = 40,465.85
  5. Step 5: Solve for x
    x = 40,465.85/186.28
  6. Step 6: Final answer
    x = 217.23

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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.