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Finding the Fourth Proportional to 409.66, 614.19 and 178.54

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Solution

The fourth proportional to 409.66, 614.19 and 178.54 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.66 : 614.19 = 178.54 : x
  2. Step 2: Convert to fraction form
    409.66/614.19 = 178.54/x
  3. Step 3: Cross multiply
    409.66x = 614.19 × 178.54
  4. Step 4: Simplify right side
    409.66x = 109,657.48
  5. Step 5: Solve for x
    x = 109,657.48/409.66
  6. Step 6: Final answer
    x = 267.68

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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.