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Finding the Fourth Proportional to 186.49, 277.56 and 185.01

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Solution

The fourth proportional to 186.49, 277.56 and 185.01 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.49 : 277.56 = 185.01 : x
  2. Step 2: Convert to fraction form
    186.49/277.56 = 185.01/x
  3. Step 3: Cross multiply
    186.49x = 277.56 × 185.01
  4. Step 4: Simplify right side
    186.49x = 51,351.38
  5. Step 5: Solve for x
    x = 51,351.38/186.49
  6. Step 6: Final answer
    x = 275.36

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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.