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Finding the Fourth Proportional to 409.34, 614.07 and 165.88

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Solution

The fourth proportional to 409.34, 614.07 and 165.88 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.34 : 614.07 = 165.88 : x
  2. Step 2: Convert to fraction form
    409.34/614.07 = 165.88/x
  3. Step 3: Cross multiply
    409.34x = 614.07 × 165.88
  4. Step 4: Simplify right side
    409.34x = 101,861.93
  5. Step 5: Solve for x
    x = 101,861.93/409.34
  6. Step 6: Final answer
    x = 248.84

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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.