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Finding the Fourth Proportional to 186.48, 257.22 and 142.80

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Solution

The fourth proportional to 186.48, 257.22 and 142.80 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.48 : 257.22 = 142.80 : x
  2. Step 2: Convert to fraction form
    186.48/257.22 = 142.80/x
  3. Step 3: Cross multiply
    186.48x = 257.22 × 142.80
  4. Step 4: Simplify right side
    186.48x = 36,731.02
  5. Step 5: Solve for x
    x = 36,731.02/186.48
  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.