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Finding the Fourth Proportional to 185.90, 278.64 and 83.06

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Solution

The fourth proportional to 185.90, 278.64 and 83.06 is: 124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.90 : 278.64 = 83.06 : x
  2. Step 2: Convert to fraction form
    185.90/278.64 = 83.06/x
  3. Step 3: Cross multiply
    185.90x = 278.64 × 83.06
  4. Step 4: Simplify right side
    185.90x = 23,142.45
  5. Step 5: Solve for x
    x = 23,142.45/185.90
  6. Step 6: Final answer
    x = 124.49

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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.