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Finding the Fourth Proportional to 442.12, 663.08 and 195.30

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Solution

The fourth proportional to 442.12, 663.08 and 195.30 is: 292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.12 : 663.08 = 195.30 : x
  2. Step 2: Convert to fraction form
    442.12/663.08 = 195.30/x
  3. Step 3: Cross multiply
    442.12x = 663.08 × 195.30
  4. Step 4: Simplify right side
    442.12x = 129,499.52
  5. Step 5: Solve for x
    x = 129,499.52/442.12
  6. Step 6: Final answer
    x = 292.91

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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.