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Finding the Fourth Proportional to 343.51, 515.14 and 213.31

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Solution

The fourth proportional to 343.51, 515.14 and 213.31 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.51 : 515.14 = 213.31 : x
  2. Step 2: Convert to fraction form
    343.51/515.14 = 213.31/x
  3. Step 3: Cross multiply
    343.51x = 515.14 × 213.31
  4. Step 4: Simplify right side
    343.51x = 109,884.51
  5. Step 5: Solve for x
    x = 109,884.51/343.51
  6. Step 6: Final answer
    x = 319.89

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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.