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Finding the Fourth Proportional to 186.90, 257.67 and 149.99

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Solution

The fourth proportional to 186.90, 257.67 and 149.99 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.90 : 257.67 = 149.99 : x
  2. Step 2: Convert to fraction form
    186.90/257.67 = 149.99/x
  3. Step 3: Cross multiply
    186.90x = 257.67 × 149.99
  4. Step 4: Simplify right side
    186.90x = 38,647.92
  5. Step 5: Solve for x
    x = 38,647.92/186.90
  6. Step 6: Final answer
    x = 206.78

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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.