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Finding the Fourth Proportional to 296.52, 409.13 and 178.52

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Solution

The fourth proportional to 296.52, 409.13 and 178.52 is: 246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 409.13 = 178.52 : x
  2. Step 2: Convert to fraction form
    296.52/409.13 = 178.52/x
  3. Step 3: Cross multiply
    296.52x = 409.13 × 178.52
  4. Step 4: Simplify right side
    296.52x = 73,034.95
  5. Step 5: Solve for x
    x = 73,034.95/296.52
  6. Step 6: Final answer
    x = 246.31

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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.