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Finding the Fourth Proportional to 185.24, 277.57 and 146.56

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Solution

The fourth proportional to 185.24, 277.57 and 146.56 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.24 : 277.57 = 146.56 : x
  2. Step 2: Convert to fraction form
    185.24/277.57 = 146.56/x
  3. Step 3: Cross multiply
    185.24x = 277.57 × 146.56
  4. Step 4: Simplify right side
    185.24x = 40,680.33
  5. Step 5: Solve for x
    x = 40,680.33/185.24
  6. Step 6: Final answer
    x = 219.61

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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.