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Finding the Fourth Proportional to 296.82, 409.64 and 165.87

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Solution

The fourth proportional to 296.82, 409.64 and 165.87 is: 228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.82 : 409.64 = 165.87 : x
  2. Step 2: Convert to fraction form
    296.82/409.64 = 165.87/x
  3. Step 3: Cross multiply
    296.82x = 409.64 × 165.87
  4. Step 4: Simplify right side
    296.82x = 67,946.99
  5. Step 5: Solve for x
    x = 67,946.99/296.82
  6. Step 6: Final answer
    x = 228.92

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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.