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Finding the Fourth Proportional to 186.06, 277.76 and 173.82

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Solution

The fourth proportional to 186.06, 277.76 and 173.82 is: 259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 277.76 = 173.82 : x
  2. Step 2: Convert to fraction form
    186.06/277.76 = 173.82/x
  3. Step 3: Cross multiply
    186.06x = 277.76 × 173.82
  4. Step 4: Simplify right side
    186.06x = 48,279.37
  5. Step 5: Solve for x
    x = 48,279.37/186.06
  6. Step 6: Final answer
    x = 259.48

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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.