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Finding the Fourth Proportional to 296.57, 409.24 and 165.57

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Solution

The fourth proportional to 296.57, 409.24 and 165.57 is: 228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.57 : 409.24 = 165.57 : x
  2. Step 2: Convert to fraction form
    296.57/409.24 = 165.57/x
  3. Step 3: Cross multiply
    296.57x = 409.24 × 165.57
  4. Step 4: Simplify right side
    296.57x = 67,757.04
  5. Step 5: Solve for x
    x = 67,757.04/296.57
  6. Step 6: Final answer
    x = 228.47

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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.