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Finding the Fourth Proportional to 296.71, 409.43 and 165.71

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Solution

The fourth proportional to 296.71, 409.43 and 165.71 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.71 : 409.43 = 165.71 : x
  2. Step 2: Convert to fraction form
    296.71/409.43 = 165.71/x
  3. Step 3: Cross multiply
    296.71x = 409.43 × 165.71
  4. Step 4: Simplify right side
    296.71x = 67,846.65
  5. Step 5: Solve for x
    x = 67,846.65/296.71
  6. Step 6: Final answer
    x = 228.66

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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.