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Finding the Fourth Proportional to 185.24, 277.93 and 82.52

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Solution

The fourth proportional to 185.24, 277.93 and 82.52 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.24 : 277.93 = 82.52 : x
  2. Step 2: Convert to fraction form
    185.24/277.93 = 82.52/x
  3. Step 3: Cross multiply
    185.24x = 277.93 × 82.52
  4. Step 4: Simplify right side
    185.24x = 22,933.86
  5. Step 5: Solve for x
    x = 22,933.86/185.24
  6. Step 6: Final answer
    x = 123.80

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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.