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Finding the Fourth Proportional to 304.98, 457.21 and 142.57

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Solution

The fourth proportional to 304.98, 457.21 and 142.57 is: 213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.98 : 457.21 = 142.57 : x
  2. Step 2: Convert to fraction form
    304.98/457.21 = 142.57/x
  3. Step 3: Cross multiply
    304.98x = 457.21 × 142.57
  4. Step 4: Simplify right side
    304.98x = 65,184.43
  5. Step 5: Solve for x
    x = 65,184.43/304.98
  6. Step 6: Final answer
    x = 213.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.