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Finding the Fourth Proportional to 332.57, 458.83 and 199.80

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Solution

The fourth proportional to 332.57, 458.83 and 199.80 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.57 : 458.83 = 199.80 : x
  2. Step 2: Convert to fraction form
    332.57/458.83 = 199.80/x
  3. Step 3: Cross multiply
    332.57x = 458.83 × 199.80
  4. Step 4: Simplify right side
    332.57x = 91,674.48
  5. Step 5: Solve for x
    x = 91,674.48/332.57
  6. Step 6: Final answer
    x = 275.65

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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.