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Finding the Fourth Proportional to 186.09, 256.50 and 142.35

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Solution

The fourth proportional to 186.09, 256.50 and 142.35 is: 196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.09 : 256.50 = 142.35 : x
  2. Step 2: Convert to fraction form
    186.09/256.50 = 142.35/x
  3. Step 3: Cross multiply
    186.09x = 256.50 × 142.35
  4. Step 4: Simplify right side
    186.09x = 36,512.78
  5. Step 5: Solve for x
    x = 36,512.78/186.09
  6. Step 6: Final answer
    x = 196.21

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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.