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Finding the Fourth Proportional to 186.24, 277.56 and 185.34

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Solution

The fourth proportional to 186.24, 277.56 and 185.34 is: 276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 277.56 = 185.34 : x
  2. Step 2: Convert to fraction form
    186.24/277.56 = 185.34/x
  3. Step 3: Cross multiply
    186.24x = 277.56 × 185.34
  4. Step 4: Simplify right side
    186.24x = 51,442.97
  5. Step 5: Solve for x
    x = 51,442.97/186.24
  6. Step 6: Final answer
    x = 276.22

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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.