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Finding the Fourth Proportional to 186.98, 278.86 and 185.16

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Solution

The fourth proportional to 186.98, 278.86 and 185.16 is: 276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.98 : 278.86 = 185.16 : x
  2. Step 2: Convert to fraction form
    186.98/278.86 = 185.16/x
  3. Step 3: Cross multiply
    186.98x = 278.86 × 185.16
  4. Step 4: Simplify right side
    186.98x = 51,633.72
  5. Step 5: Solve for x
    x = 51,633.72/186.98
  6. Step 6: Final answer
    x = 276.15

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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.