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Finding the Fourth Proportional to 442, 663.14 and 198.55

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Solution

The fourth proportional to 442, 663.14 and 198.55 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 663.14 = 198.55 : x
  2. Step 2: Convert to fraction form
    442/663.14 = 198.55/x
  3. Step 3: Cross multiply
    442x = 663.14 × 198.55
  4. Step 4: Simplify right side
    442x = 131,666.45
  5. Step 5: Solve for x
    x = 131,666.45/442
  6. Step 6: Final answer
    x = 297.89

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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.