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Finding the Fourth Proportional to 296.49, 409.19 and 165.53

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Solution

The fourth proportional to 296.49, 409.19 and 165.53 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.49 : 409.19 = 165.53 : x
  2. Step 2: Convert to fraction form
    296.49/409.19 = 165.53/x
  3. Step 3: Cross multiply
    296.49x = 409.19 × 165.53
  4. Step 4: Simplify right side
    296.49x = 67,730.35
  5. Step 5: Solve for x
    x = 67,730.35/296.49
  6. Step 6: Final answer
    x = 228.44

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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.