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Finding the Fourth Proportional to 414.25, 621.38 and 157.81

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Solution

The fourth proportional to 414.25, 621.38 and 157.81 is: 236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.25 : 621.38 = 157.81 : x
  2. Step 2: Convert to fraction form
    414.25/621.38 = 157.81/x
  3. Step 3: Cross multiply
    414.25x = 621.38 × 157.81
  4. Step 4: Simplify right side
    414.25x = 98,059.19
  5. Step 5: Solve for x
    x = 98,059.19/414.25
  6. Step 6: Final answer
    x = 236.72

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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.