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Finding the Fourth Proportional to 304.84, 457.30 and 142.54

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Solution

The fourth proportional to 304.84, 457.30 and 142.54 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.84 : 457.30 = 142.54 : x
  2. Step 2: Convert to fraction form
    304.84/457.30 = 142.54/x
  3. Step 3: Cross multiply
    304.84x = 457.30 × 142.54
  4. Step 4: Simplify right side
    304.84x = 65,183.54
  5. Step 5: Solve for x
    x = 65,183.54/304.84
  6. Step 6: Final answer
    x = 213.83

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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.