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Finding the Fourth Proportional to 319.43, 440.84 and 221.15

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Solution

The fourth proportional to 319.43, 440.84 and 221.15 is: 305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.43 : 440.84 = 221.15 : x
  2. Step 2: Convert to fraction form
    319.43/440.84 = 221.15/x
  3. Step 3: Cross multiply
    319.43x = 440.84 × 221.15
  4. Step 4: Simplify right side
    319.43x = 97,491.77
  5. Step 5: Solve for x
    x = 97,491.77/319.43
  6. Step 6: Final answer
    x = 305.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.