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Finding the Fourth Proportional to 661.92, 992.83 and 174.98

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Solution

The fourth proportional to 661.92, 992.83 and 174.98 is: 262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.92 : 992.83 = 174.98 : x
  2. Step 2: Convert to fraction form
    661.92/992.83 = 174.98/x
  3. Step 3: Cross multiply
    661.92x = 992.83 × 174.98
  4. Step 4: Simplify right side
    661.92x = 173,725.39
  5. Step 5: Solve for x
    x = 173,725.39/661.92
  6. Step 6: Final answer
    x = 262.46

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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.