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Finding the Fourth Proportional to 186.21, 256.64 and 142.61

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Solution

The fourth proportional to 186.21, 256.64 and 142.61 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.21 : 256.64 = 142.61 : x
  2. Step 2: Convert to fraction form
    186.21/256.64 = 142.61/x
  3. Step 3: Cross multiply
    186.21x = 256.64 × 142.61
  4. Step 4: Simplify right side
    186.21x = 36,597.43
  5. Step 5: Solve for x
    x = 36,597.43/186.21
  6. Step 6: Final answer
    x = 196.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.