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Finding the Fourth Proportional to 249.64, 344.58 and 213.16

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Solution

The fourth proportional to 249.64, 344.58 and 213.16 is: 294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.64 : 344.58 = 213.16 : x
  2. Step 2: Convert to fraction form
    249.64/344.58 = 213.16/x
  3. Step 3: Cross multiply
    249.64x = 344.58 × 213.16
  4. Step 4: Simplify right side
    249.64x = 73,450.67
  5. Step 5: Solve for x
    x = 73,450.67/249.64
  6. Step 6: Final answer
    x = 294.23

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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.