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Finding the Fourth Proportional to 332.66, 459.11 and 201.69

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Solution

The fourth proportional to 332.66, 459.11 and 201.69 is: 278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.66 : 459.11 = 201.69 : x
  2. Step 2: Convert to fraction form
    332.66/459.11 = 201.69/x
  3. Step 3: Cross multiply
    332.66x = 459.11 × 201.69
  4. Step 4: Simplify right side
    332.66x = 92,597.90
  5. Step 5: Solve for x
    x = 92,597.90/332.66
  6. Step 6: Final answer
    x = 278.36

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