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Finding the Fourth Proportional to 406, 609 and 178

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Solution

The fourth proportional to 406, 609 and 178 is: 267

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 609 = 178 : x
  2. Step 2: Convert to fraction form
    406/609 = 178/x
  3. Step 3: Cross multiply
    406x = 609 × 178
  4. Step 4: Simplify right side
    406x = 108,402
  5. Step 5: Solve for x
    x = 108,402/406
  6. Step 6: Final answer
    x = 267

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.