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Finding the Fourth Proportional to 484.12, 726.06 and 142.12

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Solution

The fourth proportional to 484.12, 726.06 and 142.12 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.12 : 726.06 = 142.12 : x
  2. Step 2: Convert to fraction form
    484.12/726.06 = 142.12/x
  3. Step 3: Cross multiply
    484.12x = 726.06 × 142.12
  4. Step 4: Simplify right side
    484.12x = 103,187.65
  5. Step 5: Solve for x
    x = 103,187.65/484.12
  6. Step 6: Final answer
    x = 213.14

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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.