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Finding the Fourth Proportional to 418.19, 627.32 and 144.22

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Solution

The fourth proportional to 418.19, 627.32 and 144.22 is: 216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.19 : 627.32 = 144.22 : x
  2. Step 2: Convert to fraction form
    418.19/627.32 = 144.22/x
  3. Step 3: Cross multiply
    418.19x = 627.32 × 144.22
  4. Step 4: Simplify right side
    418.19x = 90,472.09
  5. Step 5: Solve for x
    x = 90,472.09/418.19
  6. Step 6: Final answer
    x = 216.34

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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.