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Finding the Fourth Proportional to 186.84, 257.81 and 108.16

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Solution

The fourth proportional to 186.84, 257.81 and 108.16 is: 149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 257.81 = 108.16 : x
  2. Step 2: Convert to fraction form
    186.84/257.81 = 108.16/x
  3. Step 3: Cross multiply
    186.84x = 257.81 × 108.16
  4. Step 4: Simplify right side
    186.84x = 27,884.73
  5. Step 5: Solve for x
    x = 27,884.73/186.84
  6. Step 6: Final answer
    x = 149.24

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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.