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Finding the Fourth Proportional to 296.42, 409.07 and 165.44

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Solution

The fourth proportional to 296.42, 409.07 and 165.44 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 409.07 = 165.44 : x
  2. Step 2: Convert to fraction form
    296.42/409.07 = 165.44/x
  3. Step 3: Cross multiply
    296.42x = 409.07 × 165.44
  4. Step 4: Simplify right side
    296.42x = 67,676.54
  5. Step 5: Solve for x
    x = 67,676.54/296.42
  6. Step 6: Final answer
    x = 228.31

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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.