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Finding the Fourth Proportional to 296.78, 409.51 and 165.79

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Solution

The fourth proportional to 296.78, 409.51 and 165.79 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.78 : 409.51 = 165.79 : x
  2. Step 2: Convert to fraction form
    296.78/409.51 = 165.79/x
  3. Step 3: Cross multiply
    296.78x = 409.51 × 165.79
  4. Step 4: Simplify right side
    296.78x = 67,891.22
  5. Step 5: Solve for x
    x = 67,891.22/296.78
  6. Step 6: Final answer
    x = 228.76

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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.