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Finding the Fourth Proportional to 186, 277.32 and 183.56

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Solution

The fourth proportional to 186, 277.32 and 183.56 is: 273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186 : 277.32 = 183.56 : x
  2. Step 2: Convert to fraction form
    186/277.32 = 183.56/x
  3. Step 3: Cross multiply
    186x = 277.32 × 183.56
  4. Step 4: Simplify right side
    186x = 50,904.86
  5. Step 5: Solve for x
    x = 50,904.86/186
  6. Step 6: Final answer
    x = 273.68

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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.