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Finding the Fourth Proportional to 304.81, 456.99 and 142.61

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Solution

The fourth proportional to 304.81, 456.99 and 142.61 is: 213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.81 : 456.99 = 142.61 : x
  2. Step 2: Convert to fraction form
    304.81/456.99 = 142.61/x
  3. Step 3: Cross multiply
    304.81x = 456.99 × 142.61
  4. Step 4: Simplify right side
    304.81x = 65,171.90
  5. Step 5: Solve for x
    x = 65,171.90/304.81
  6. Step 6: Final answer
    x = 213.81

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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.