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Finding the Fourth Proportional to 186.42, 257.17 and 137.28

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Solution

The fourth proportional to 186.42, 257.17 and 137.28 is: 189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 257.17 = 137.28 : x
  2. Step 2: Convert to fraction form
    186.42/257.17 = 137.28/x
  3. Step 3: Cross multiply
    186.42x = 257.17 × 137.28
  4. Step 4: Simplify right side
    186.42x = 35,304.30
  5. Step 5: Solve for x
    x = 35,304.30/186.42
  6. Step 6: Final answer
    x = 189.38

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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.