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Finding the Fourth Proportional to 242.21, 334.19 and 217.31

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Solution

The fourth proportional to 242.21, 334.19 and 217.31 is: 299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.21 : 334.19 = 217.31 : x
  2. Step 2: Convert to fraction form
    242.21/334.19 = 217.31/x
  3. Step 3: Cross multiply
    242.21x = 334.19 × 217.31
  4. Step 4: Simplify right side
    242.21x = 72,621.70
  5. Step 5: Solve for x
    x = 72,621.70/242.21
  6. Step 6: Final answer
    x = 299.83

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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.