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Finding the Fourth Proportional to 348.54, 521.96 and 218.13

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Solution

The fourth proportional to 348.54, 521.96 and 218.13 is: 326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 521.96 = 218.13 : x
  2. Step 2: Convert to fraction form
    348.54/521.96 = 218.13/x
  3. Step 3: Cross multiply
    348.54x = 521.96 × 218.13
  4. Step 4: Simplify right side
    348.54x = 113,854.04
  5. Step 5: Solve for x
    x = 113,854.04/348.54
  6. Step 6: Final answer
    x = 326.66

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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.