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Finding the Fourth Proportional to 318.76, 440.01 and 216.46

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Solution

The fourth proportional to 318.76, 440.01 and 216.46 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 440.01 = 216.46 : x
  2. Step 2: Convert to fraction form
    318.76/440.01 = 216.46/x
  3. Step 3: Cross multiply
    318.76x = 440.01 × 216.46
  4. Step 4: Simplify right side
    318.76x = 95,244.56
  5. Step 5: Solve for x
    x = 95,244.56/318.76
  6. Step 6: Final answer
    x = 298.80

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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.