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Finding the Fourth Proportional to 410.19, 614.81 and 178.73

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Solution

The fourth proportional to 410.19, 614.81 and 178.73 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 614.81 = 178.73 : x
  2. Step 2: Convert to fraction form
    410.19/614.81 = 178.73/x
  3. Step 3: Cross multiply
    410.19x = 614.81 × 178.73
  4. Step 4: Simplify right side
    410.19x = 109,884.99
  5. Step 5: Solve for x
    x = 109,884.99/410.19
  6. Step 6: Final answer
    x = 267.89

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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.