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Finding the Fourth Proportional to 296.42, 409.02 and 165.39

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Solution

The fourth proportional to 296.42, 409.02 and 165.39 is: 228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 409.02 = 165.39 : x
  2. Step 2: Convert to fraction form
    296.42/409.02 = 165.39/x
  3. Step 3: Cross multiply
    296.42x = 409.02 × 165.39
  4. Step 4: Simplify right side
    296.42x = 67,647.82
  5. Step 5: Solve for x
    x = 67,647.82/296.42
  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.