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Finding the Fourth Proportional to 332.70, 459.33 and 201.75

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Solution

The fourth proportional to 332.70, 459.33 and 201.75 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.70 : 459.33 = 201.75 : x
  2. Step 2: Convert to fraction form
    332.70/459.33 = 201.75/x
  3. Step 3: Cross multiply
    332.70x = 459.33 × 201.75
  4. Step 4: Simplify right side
    332.70x = 92,669.83
  5. Step 5: Solve for x
    x = 92,669.83/332.70
  6. Step 6: Final answer
    x = 278.54

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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.