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Finding the Fourth Proportional to 186.70, 257.64 and 108.04

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Solution

The fourth proportional to 186.70, 257.64 and 108.04 is: 149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.70 : 257.64 = 108.04 : x
  2. Step 2: Convert to fraction form
    186.70/257.64 = 108.04/x
  3. Step 3: Cross multiply
    186.70x = 257.64 × 108.04
  4. Step 4: Simplify right side
    186.70x = 27,834.89
  5. Step 5: Solve for x
    x = 27,834.89/186.70
  6. Step 6: Final answer
    x = 149.09

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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.