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Finding the Fourth Proportional to 332.76, 458.96 and 201.66

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Solution

The fourth proportional to 332.76, 458.96 and 201.66 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.76 : 458.96 = 201.66 : x
  2. Step 2: Convert to fraction form
    332.76/458.96 = 201.66/x
  3. Step 3: Cross multiply
    332.76x = 458.96 × 201.66
  4. Step 4: Simplify right side
    332.76x = 92,553.87
  5. Step 5: Solve for x
    x = 92,553.87/332.76
  6. Step 6: Final answer
    x = 278.14

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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.