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Finding the Fourth Proportional to 186.17, 277.36 and 183.74

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Solution

The fourth proportional to 186.17, 277.36 and 183.74 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 277.36 = 183.74 : x
  2. Step 2: Convert to fraction form
    186.17/277.36 = 183.74/x
  3. Step 3: Cross multiply
    186.17x = 277.36 × 183.74
  4. Step 4: Simplify right side
    186.17x = 50,960.28
  5. Step 5: Solve for x
    x = 50,960.28/186.17
  6. Step 6: Final answer
    x = 273.74

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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.