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Finding the Fourth Proportional to 186.39, 257.09 and 142.04

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Solution

The fourth proportional to 186.39, 257.09 and 142.04 is: 195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 257.09 = 142.04 : x
  2. Step 2: Convert to fraction form
    186.39/257.09 = 142.04/x
  3. Step 3: Cross multiply
    186.39x = 257.09 × 142.04
  4. Step 4: Simplify right side
    186.39x = 36,515.07
  5. Step 5: Solve for x
    x = 36,515.07/186.39
  6. Step 6: Final answer
    x = 195.91

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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.