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Finding the Fourth Proportional to 409.62, 614.16 and 165.86

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Solution

The fourth proportional to 409.62, 614.16 and 165.86 is: 248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.62 : 614.16 = 165.86 : x
  2. Step 2: Convert to fraction form
    409.62/614.16 = 165.86/x
  3. Step 3: Cross multiply
    409.62x = 614.16 × 165.86
  4. Step 4: Simplify right side
    409.62x = 101,861.51
  5. Step 5: Solve for x
    x = 101,861.51/409.62
  6. Step 6: Final answer
    x = 248.67

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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.