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Finding the Fourth Proportional to 186.22, 256.41 and 142

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Solution

The fourth proportional to 186.22, 256.41 and 142 is: 195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 256.41 = 142 : x
  2. Step 2: Convert to fraction form
    186.22/256.41 = 142/x
  3. Step 3: Cross multiply
    186.22x = 256.41 × 142
  4. Step 4: Simplify right side
    186.22x = 36,410.22
  5. Step 5: Solve for x
    x = 36,410.22/186.22
  6. Step 6: Final answer
    x = 195.52

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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.