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Finding the Fourth Proportional to 305.27, 457.62 and 122.54

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Solution

The fourth proportional to 305.27, 457.62 and 122.54 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.27 : 457.62 = 122.54 : x
  2. Step 2: Convert to fraction form
    305.27/457.62 = 122.54/x
  3. Step 3: Cross multiply
    305.27x = 457.62 × 122.54
  4. Step 4: Simplify right side
    305.27x = 56,076.33
  5. Step 5: Solve for x
    x = 56,076.33/305.27
  6. Step 6: Final answer
    x = 183.69

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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.