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Finding the Fourth Proportional to 332.13, 458.46 and 201.15

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Solution

The fourth proportional to 332.13, 458.46 and 201.15 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.13 : 458.46 = 201.15 : x
  2. Step 2: Convert to fraction form
    332.13/458.46 = 201.15/x
  3. Step 3: Cross multiply
    332.13x = 458.46 × 201.15
  4. Step 4: Simplify right side
    332.13x = 92,219.23
  5. Step 5: Solve for x
    x = 92,219.23/332.13
  6. Step 6: Final answer
    x = 277.66

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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.