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Finding the Fourth Proportional to 332.60, 458.96 and 201.63

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Solution

The fourth proportional to 332.60, 458.96 and 201.63 is: 278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 458.96 = 201.63 : x
  2. Step 2: Convert to fraction form
    332.60/458.96 = 201.63/x
  3. Step 3: Cross multiply
    332.60x = 458.96 × 201.63
  4. Step 4: Simplify right side
    332.60x = 92,539.10
  5. Step 5: Solve for x
    x = 92,539.10/332.60
  6. Step 6: Final answer
    x = 278.23

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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.