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Finding the Fourth Proportional to 186.71, 257.54 and 137.64

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Solution

The fourth proportional to 186.71, 257.54 and 137.64 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.71 : 257.54 = 137.64 : x
  2. Step 2: Convert to fraction form
    186.71/257.54 = 137.64/x
  3. Step 3: Cross multiply
    186.71x = 257.54 × 137.64
  4. Step 4: Simplify right side
    186.71x = 35,447.12
  5. Step 5: Solve for x
    x = 35,447.12/186.71
  6. Step 6: Final answer
    x = 189.85

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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.