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Finding the Fourth Proportional to 304.86, 457.14 and 142.44

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Solution

The fourth proportional to 304.86, 457.14 and 142.44 is: 213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 457.14 = 142.44 : x
  2. Step 2: Convert to fraction form
    304.86/457.14 = 142.44/x
  3. Step 3: Cross multiply
    304.86x = 457.14 × 142.44
  4. Step 4: Simplify right side
    304.86x = 65,115.02
  5. Step 5: Solve for x
    x = 65,115.02/304.86
  6. Step 6: Final answer
    x = 213.59

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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.