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Finding the Fourth Proportional to 422.56, 633.75 and 130.00

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Solution

The fourth proportional to 422.56, 633.75 and 130.00 is: 194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.56 : 633.75 = 130.00 : x
  2. Step 2: Convert to fraction form
    422.56/633.75 = 130.00/x
  3. Step 3: Cross multiply
    422.56x = 633.75 × 130.00
  4. Step 4: Simplify right side
    422.56x = 82,384.33
  5. Step 5: Solve for x
    x = 82,384.33/422.56
  6. Step 6: Final answer
    x = 194.96

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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.