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Finding the Fourth Proportional to 484.19, 726.28 and 142.19

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Solution

The fourth proportional to 484.19, 726.28 and 142.19 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.19 : 726.28 = 142.19 : x
  2. Step 2: Convert to fraction form
    484.19/726.28 = 142.19/x
  3. Step 3: Cross multiply
    484.19x = 726.28 × 142.19
  4. Step 4: Simplify right side
    484.19x = 103,269.75
  5. Step 5: Solve for x
    x = 103,269.75/484.19
  6. Step 6: Final answer
    x = 213.28

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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.