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Finding the Fourth Proportional to 186.20, 256.60 and 142.48

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Solution

The fourth proportional to 186.20, 256.60 and 142.48 is: 196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.20 : 256.60 = 142.48 : x
  2. Step 2: Convert to fraction form
    186.20/256.60 = 142.48/x
  3. Step 3: Cross multiply
    186.20x = 256.60 × 142.48
  4. Step 4: Simplify right side
    186.20x = 36,560.37
  5. Step 5: Solve for x
    x = 36,560.37/186.20
  6. Step 6: Final answer
    x = 196.35

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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.