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Finding the Fourth Proportional to 414.81, 622.14 and 158.25

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Solution

The fourth proportional to 414.81, 622.14 and 158.25 is: 237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.81 : 622.14 = 158.25 : x
  2. Step 2: Convert to fraction form
    414.81/622.14 = 158.25/x
  3. Step 3: Cross multiply
    414.81x = 622.14 × 158.25
  4. Step 4: Simplify right side
    414.81x = 98,453.66
  5. Step 5: Solve for x
    x = 98,453.66/414.81
  6. Step 6: Final answer
    x = 237.35

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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.