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Finding the Fourth Proportional to 186.62, 278.81 and 185.00

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Solution

The fourth proportional to 186.62, 278.81 and 185.00 is: 276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.62 : 278.81 = 185.00 : x
  2. Step 2: Convert to fraction form
    186.62/278.81 = 185.00/x
  3. Step 3: Cross multiply
    186.62x = 278.81 × 185.00
  4. Step 4: Simplify right side
    186.62x = 51,577.53
  5. Step 5: Solve for x
    x = 51,577.53/186.62
  6. Step 6: Final answer
    x = 276.38

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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.