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Finding the Fourth Proportional to 348.14, 522.35 and 142.81

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Solution

The fourth proportional to 348.14, 522.35 and 142.81 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 522.35 = 142.81 : x
  2. Step 2: Convert to fraction form
    348.14/522.35 = 142.81/x
  3. Step 3: Cross multiply
    348.14x = 522.35 × 142.81
  4. Step 4: Simplify right side
    348.14x = 74,596.80
  5. Step 5: Solve for x
    x = 74,596.80/348.14
  6. Step 6: Final answer
    x = 214.27

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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.