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Finding the Fourth Proportional to 186.21, 256.77 and 158.54

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Solution

The fourth proportional to 186.21, 256.77 and 158.54 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.21 : 256.77 = 158.54 : x
  2. Step 2: Convert to fraction form
    186.21/256.77 = 158.54/x
  3. Step 3: Cross multiply
    186.21x = 256.77 × 158.54
  4. Step 4: Simplify right side
    186.21x = 40,707.03
  5. Step 5: Solve for x
    x = 40,707.03/186.21
  6. Step 6: Final answer
    x = 218.61

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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.