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Finding the Fourth Proportional to 186.98, 257.64 and 137.84

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Solution

The fourth proportional to 186.98, 257.64 and 137.84 is: 189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 257.64 = 137.84 : x
  2. Step 2: Convert to fraction form
    186.98/257.64 = 137.84/x
  3. Step 3: Cross multiply
    186.98x = 257.64 × 137.84
  4. Step 4: Simplify right side
    186.98x = 35,513.10
  5. Step 5: Solve for x
    x = 35,513.10/186.98
  6. Step 6: Final answer
    x = 189.93

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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.