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Finding the Fourth Proportional to 661.23, 991.82 and 199.01

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Solution

The fourth proportional to 661.23, 991.82 and 199.01 is: 298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.23 : 991.82 = 199.01 : x
  2. Step 2: Convert to fraction form
    661.23/991.82 = 199.01/x
  3. Step 3: Cross multiply
    661.23x = 991.82 × 199.01
  4. Step 4: Simplify right side
    661.23x = 197,385.08
  5. Step 5: Solve for x
    x = 197,385.08/661.23
  6. Step 6: Final answer
    x = 298.51

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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.