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Finding the Fourth Proportional to 218.42, 327.71 and 96.70

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Solution

The fourth proportional to 218.42, 327.71 and 96.70 is: 145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.42 : 327.71 = 96.70 : x
  2. Step 2: Convert to fraction form
    218.42/327.71 = 96.70/x
  3. Step 3: Cross multiply
    218.42x = 327.71 × 96.70
  4. Step 4: Simplify right side
    218.42x = 31,689.56
  5. Step 5: Solve for x
    x = 31,689.56/218.42
  6. Step 6: Final answer
    x = 145.09

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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.