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Finding the Fourth Proportional to 661.75, 992.62 and 199.53

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Solution

The fourth proportional to 661.75, 992.62 and 199.53 is: 299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.75 : 992.62 = 199.53 : x
  2. Step 2: Convert to fraction form
    661.75/992.62 = 199.53/x
  3. Step 3: Cross multiply
    661.75x = 992.62 × 199.53
  4. Step 4: Simplify right side
    661.75x = 198,057.47
  5. Step 5: Solve for x
    x = 198,057.47/661.75
  6. Step 6: Final answer
    x = 299.29

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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.