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Finding the Fourth Proportional to 304.58, 457.02 and 142.24

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Solution

The fourth proportional to 304.58, 457.02 and 142.24 is: 213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.58 : 457.02 = 142.24 : x
  2. Step 2: Convert to fraction form
    304.58/457.02 = 142.24/x
  3. Step 3: Cross multiply
    304.58x = 457.02 × 142.24
  4. Step 4: Simplify right side
    304.58x = 65,004.24
  5. Step 5: Solve for x
    x = 65,004.24/304.58
  6. Step 6: Final answer
    x = 213.42

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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.