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Finding the Fourth Proportional to 186.56, 257.76 and 142.46

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Solution

The fourth proportional to 186.56, 257.76 and 142.46 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.56 : 257.76 = 142.46 : x
  2. Step 2: Convert to fraction form
    186.56/257.76 = 142.46/x
  3. Step 3: Cross multiply
    186.56x = 257.76 × 142.46
  4. Step 4: Simplify right side
    186.56x = 36,720.49
  5. Step 5: Solve for x
    x = 36,720.49/186.56
  6. Step 6: Final answer
    x = 196.83

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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.