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Finding the Fourth Proportional to 348.13, 522.04 and 142.55

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Solution

The fourth proportional to 348.13, 522.04 and 142.55 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.13 : 522.04 = 142.55 : x
  2. Step 2: Convert to fraction form
    348.13/522.04 = 142.55/x
  3. Step 3: Cross multiply
    348.13x = 522.04 × 142.55
  4. Step 4: Simplify right side
    348.13x = 74,416.80
  5. Step 5: Solve for x
    x = 74,416.80/348.13
  6. Step 6: Final answer
    x = 213.76

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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.