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Finding the Fourth Proportional to 185.22, 277.62 and 76.89

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Solution

The fourth proportional to 185.22, 277.62 and 76.89 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 277.62 = 76.89 : x
  2. Step 2: Convert to fraction form
    185.22/277.62 = 76.89/x
  3. Step 3: Cross multiply
    185.22x = 277.62 × 76.89
  4. Step 4: Simplify right side
    185.22x = 21,346.20
  5. Step 5: Solve for x
    x = 21,346.20/185.22
  6. Step 6: Final answer
    x = 115.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.