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Finding the Fourth Proportional to 661.52, 992.28 and 199.28

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Solution

The fourth proportional to 661.52, 992.28 and 199.28 is: 298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.52 : 992.28 = 199.28 : x
  2. Step 2: Convert to fraction form
    661.52/992.28 = 199.28/x
  3. Step 3: Cross multiply
    661.52x = 992.28 × 199.28
  4. Step 4: Simplify right side
    661.52x = 197,744.79
  5. Step 5: Solve for x
    x = 197,744.79/661.52
  6. Step 6: Final answer
    x = 298.92

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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.