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Finding the Fourth Proportional to 418.37, 627.51 and 110.22

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Solution

The fourth proportional to 418.37, 627.51 and 110.22 is: 165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.37 : 627.51 = 110.22 : x
  2. Step 2: Convert to fraction form
    418.37/627.51 = 110.22/x
  3. Step 3: Cross multiply
    418.37x = 627.51 × 110.22
  4. Step 4: Simplify right side
    418.37x = 69,164.15
  5. Step 5: Solve for x
    x = 69,164.15/418.37
  6. Step 6: Final answer
    x = 165.32

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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.