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Finding the Fourth Proportional to 304.86, 457.30 and 142.66

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Solution

The fourth proportional to 304.86, 457.30 and 142.66 is: 213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 457.30 = 142.66 : x
  2. Step 2: Convert to fraction form
    304.86/457.30 = 142.66/x
  3. Step 3: Cross multiply
    304.86x = 457.30 × 142.66
  4. Step 4: Simplify right side
    304.86x = 65,238.83
  5. Step 5: Solve for x
    x = 65,238.83/304.86
  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.