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Finding the Fourth Proportional to 186.26, 256.70 and 137.06

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Solution

The fourth proportional to 186.26, 256.70 and 137.06 is: 188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.26 : 256.70 = 137.06 : x
  2. Step 2: Convert to fraction form
    186.26/256.70 = 137.06/x
  3. Step 3: Cross multiply
    186.26x = 256.70 × 137.06
  4. Step 4: Simplify right side
    186.26x = 35,181.33
  5. Step 5: Solve for x
    x = 35,181.33/186.26
  6. Step 6: Final answer
    x = 188.88

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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.