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Finding the Fourth Proportional to 332.87, 459.27 and 201.86

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Solution

The fourth proportional to 332.87, 459.27 and 201.86 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.87 : 459.27 = 201.86 : x
  2. Step 2: Convert to fraction form
    332.87/459.27 = 201.86/x
  3. Step 3: Cross multiply
    332.87x = 459.27 × 201.86
  4. Step 4: Simplify right side
    332.87x = 92,705.95
  5. Step 5: Solve for x
    x = 92,705.95/332.87
  6. Step 6: Final answer
    x = 278.51

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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.