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Finding the Fourth Proportional to 186.12, 257 and 142.38

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Solution

The fourth proportional to 186.12, 257 and 142.38 is: 196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.12 : 257 = 142.38 : x
  2. Step 2: Convert to fraction form
    186.12/257 = 142.38/x
  3. Step 3: Cross multiply
    186.12x = 257 × 142.38
  4. Step 4: Simplify right side
    186.12x = 36,591.66
  5. Step 5: Solve for x
    x = 36,591.66/186.12
  6. Step 6: Final answer
    x = 196.60

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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.