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Finding the Fourth Proportional to 185.82, 278.75 and 104.59

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Solution

The fourth proportional to 185.82, 278.75 and 104.59 is: 156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 278.75 = 104.59 : x
  2. Step 2: Convert to fraction form
    185.82/278.75 = 104.59/x
  3. Step 3: Cross multiply
    185.82x = 278.75 × 104.59
  4. Step 4: Simplify right side
    185.82x = 29,153.07
  5. Step 5: Solve for x
    x = 29,153.07/185.82
  6. Step 6: Final answer
    x = 156.89

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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.