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Finding the Fourth Proportional to 418.29, 627.46 and 110.15

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Solution

The fourth proportional to 418.29, 627.46 and 110.15 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.29 : 627.46 = 110.15 : x
  2. Step 2: Convert to fraction form
    418.29/627.46 = 110.15/x
  3. Step 3: Cross multiply
    418.29x = 627.46 × 110.15
  4. Step 4: Simplify right side
    418.29x = 69,114.72
  5. Step 5: Solve for x
    x = 69,114.72/418.29
  6. Step 6: Final answer
    x = 165.23

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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.