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Finding the Fourth Proportional to 660.54, 990.82 and 198.32

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Solution

The fourth proportional to 660.54, 990.82 and 198.32 is: 297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.54 : 990.82 = 198.32 : x
  2. Step 2: Convert to fraction form
    660.54/990.82 = 198.32/x
  3. Step 3: Cross multiply
    660.54x = 990.82 × 198.32
  4. Step 4: Simplify right side
    660.54x = 196,501.90
  5. Step 5: Solve for x
    x = 196,501.90/660.54
  6. Step 6: Final answer
    x = 297.49

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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.