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Finding the Fourth Proportional to 661.56, 992.38 and 199.32

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Solution

The fourth proportional to 661.56, 992.38 and 199.32 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.56 : 992.38 = 199.32 : x
  2. Step 2: Convert to fraction form
    661.56/992.38 = 199.32/x
  3. Step 3: Cross multiply
    661.56x = 992.38 × 199.32
  4. Step 4: Simplify right side
    661.56x = 197,801.18
  5. Step 5: Solve for x
    x = 197,801.18/661.56
  6. Step 6: Final answer
    x = 298.99

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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.