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Finding the Fourth Proportional to 186.06, 277.22 and 179.08

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Solution

The fourth proportional to 186.06, 277.22 and 179.08 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 277.22 = 179.08 : x
  2. Step 2: Convert to fraction form
    186.06/277.22 = 179.08/x
  3. Step 3: Cross multiply
    186.06x = 277.22 × 179.08
  4. Step 4: Simplify right side
    186.06x = 49,644.56
  5. Step 5: Solve for x
    x = 49,644.56/186.06
  6. Step 6: Final answer
    x = 266.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.