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Finding the Fourth Proportional to 296.37, 409.00 and 165.38

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Solution

The fourth proportional to 296.37, 409.00 and 165.38 is: 228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.37 : 409.00 = 165.38 : x
  2. Step 2: Convert to fraction form
    296.37/409.00 = 165.38/x
  3. Step 3: Cross multiply
    296.37x = 409.00 × 165.38
  4. Step 4: Simplify right side
    296.37x = 67,638.27
  5. Step 5: Solve for x
    x = 67,638.27/296.37
  6. Step 6: Final answer
    x = 228.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.