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Finding the Fourth Proportional to 661.86, 992.83 and 199.59

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Solution

The fourth proportional to 661.86, 992.83 and 199.59 is: 299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.86 : 992.83 = 199.59 : x
  2. Step 2: Convert to fraction form
    661.86/992.83 = 199.59/x
  3. Step 3: Cross multiply
    661.86x = 992.83 × 199.59
  4. Step 4: Simplify right side
    661.86x = 198,158.94
  5. Step 5: Solve for x
    x = 198,158.94/661.86
  6. Step 6: Final answer
    x = 299.40

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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.