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Finding the Fourth Proportional to 296.69, 409.41 and 178.67

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Solution

The fourth proportional to 296.69, 409.41 and 178.67 is: 246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.69 : 409.41 = 178.67 : x
  2. Step 2: Convert to fraction form
    296.69/409.41 = 178.67/x
  3. Step 3: Cross multiply
    296.69x = 409.41 × 178.67
  4. Step 4: Simplify right side
    296.69x = 73,147.24
  5. Step 5: Solve for x
    x = 73,147.24/296.69
  6. Step 6: Final answer
    x = 246.55

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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.