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Finding the Fourth Proportional to 305.14, 457.49 and 142.73

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Solution

The fourth proportional to 305.14, 457.49 and 142.73 is: 213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 457.49 = 142.73 : x
  2. Step 2: Convert to fraction form
    305.14/457.49 = 142.73/x
  3. Step 3: Cross multiply
    305.14x = 457.49 × 142.73
  4. Step 4: Simplify right side
    305.14x = 65,296.83
  5. Step 5: Solve for x
    x = 65,296.83/305.14
  6. Step 6: Final answer
    x = 213.99

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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.