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Finding the Fourth Proportional to 186.50, 279.26 and 149.77

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Solution

The fourth proportional to 186.50, 279.26 and 149.77 is: 224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 279.26 = 149.77 : x
  2. Step 2: Convert to fraction form
    186.50/279.26 = 149.77/x
  3. Step 3: Cross multiply
    186.50x = 279.26 × 149.77
  4. Step 4: Simplify right side
    186.50x = 41,824.77
  5. Step 5: Solve for x
    x = 41,824.77/186.50
  6. Step 6: Final answer
    x = 224.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.