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Finding the Fourth Proportional to 304.71, 457.15 and 142.53

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Solution

The fourth proportional to 304.71, 457.15 and 142.53 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.71 : 457.15 = 142.53 : x
  2. Step 2: Convert to fraction form
    304.71/457.15 = 142.53/x
  3. Step 3: Cross multiply
    304.71x = 457.15 × 142.53
  4. Step 4: Simplify right side
    304.71x = 65,157.59
  5. Step 5: Solve for x
    x = 65,157.59/304.71
  6. Step 6: Final answer
    x = 213.83

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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.