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Finding the Fourth Proportional to 414.40, 621.60 and 106.25

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Solution

The fourth proportional to 414.40, 621.60 and 106.25 is: 159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.40 : 621.60 = 106.25 : x
  2. Step 2: Convert to fraction form
    414.40/621.60 = 106.25/x
  3. Step 3: Cross multiply
    414.40x = 621.60 × 106.25
  4. Step 4: Simplify right side
    414.40x = 66,046.55
  5. Step 5: Solve for x
    x = 66,046.55/414.40
  6. Step 6: Final answer
    x = 159.38

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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.