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Finding the Fourth Proportional to 348.31, 522.23 and 142.82

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Solution

The fourth proportional to 348.31, 522.23 and 142.82 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.31 : 522.23 = 142.82 : x
  2. Step 2: Convert to fraction form
    348.31/522.23 = 142.82/x
  3. Step 3: Cross multiply
    348.31x = 522.23 × 142.82
  4. Step 4: Simplify right side
    348.31x = 74,581.56
  5. Step 5: Solve for x
    x = 74,581.56/348.31
  6. Step 6: Final answer
    x = 214.13

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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.