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Finding the Fourth Proportional to 332.92, 459.38 and 194.92

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Solution

The fourth proportional to 332.92, 459.38 and 194.92 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.92 : 459.38 = 194.92 : x
  2. Step 2: Convert to fraction form
    332.92/459.38 = 194.92/x
  3. Step 3: Cross multiply
    332.92x = 459.38 × 194.92
  4. Step 4: Simplify right side
    332.92x = 89,542.35
  5. Step 5: Solve for x
    x = 89,542.35/332.92
  6. Step 6: Final answer
    x = 268.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.