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Finding the Fourth Proportional to 185.25, 277.81 and 82.53

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Solution

The fourth proportional to 185.25, 277.81 and 82.53 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 277.81 = 82.53 : x
  2. Step 2: Convert to fraction form
    185.25/277.81 = 82.53/x
  3. Step 3: Cross multiply
    185.25x = 277.81 × 82.53
  4. Step 4: Simplify right side
    185.25x = 22,927.66
  5. Step 5: Solve for x
    x = 22,927.66/185.25
  6. Step 6: Final answer
    x = 123.77

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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.