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Finding the Fourth Proportional to 243, 334.26 and 213.84

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Solution

The fourth proportional to 243, 334.26 and 213.84 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243 : 334.26 = 213.84 : x
  2. Step 2: Convert to fraction form
    243/334.26 = 213.84/x
  3. Step 3: Cross multiply
    243x = 334.26 × 213.84
  4. Step 4: Simplify right side
    243x = 71,478.16
  5. Step 5: Solve for x
    x = 71,478.16/243
  6. Step 6: Final answer
    x = 294.15

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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.