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Finding the Fourth Proportional to 414.12, 621.30 and 157.80

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Solution

The fourth proportional to 414.12, 621.30 and 157.80 is: 236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 621.30 = 157.80 : x
  2. Step 2: Convert to fraction form
    414.12/621.30 = 157.80/x
  3. Step 3: Cross multiply
    414.12x = 621.30 × 157.80
  4. Step 4: Simplify right side
    414.12x = 98,041.14
  5. Step 5: Solve for x
    x = 98,041.14/414.12
  6. Step 6: Final answer
    x = 236.75

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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.