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Finding the Fourth Proportional to 296.63, 409.34 and 165.63

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Solution

The fourth proportional to 296.63, 409.34 and 165.63 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.63 : 409.34 = 165.63 : x
  2. Step 2: Convert to fraction form
    296.63/409.34 = 165.63/x
  3. Step 3: Cross multiply
    296.63x = 409.34 × 165.63
  4. Step 4: Simplify right side
    296.63x = 67,799.40
  5. Step 5: Solve for x
    x = 67,799.40/296.63
  6. Step 6: Final answer
    x = 228.57

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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.