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Finding the Fourth Proportional to 296.58, 409.06 and 178.43

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Solution

The fourth proportional to 296.58, 409.06 and 178.43 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.58 : 409.06 = 178.43 : x
  2. Step 2: Convert to fraction form
    296.58/409.06 = 178.43/x
  3. Step 3: Cross multiply
    296.58x = 409.06 × 178.43
  4. Step 4: Simplify right side
    296.58x = 72,986.75
  5. Step 5: Solve for x
    x = 72,986.75/296.58
  6. Step 6: Final answer
    x = 246.09

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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.