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Finding the Fourth Proportional to 186.46, 257.34 and 142.72

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Solution

The fourth proportional to 186.46, 257.34 and 142.72 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.46 : 257.34 = 142.72 : x
  2. Step 2: Convert to fraction form
    186.46/257.34 = 142.72/x
  3. Step 3: Cross multiply
    186.46x = 257.34 × 142.72
  4. Step 4: Simplify right side
    186.46x = 36,727.56
  5. Step 5: Solve for x
    x = 36,727.56/186.46
  6. Step 6: Final answer
    x = 196.97

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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.