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Finding the Fourth Proportional to 348.01, 521.75 and 142.63

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Solution

The fourth proportional to 348.01, 521.75 and 142.63 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.01 : 521.75 = 142.63 : x
  2. Step 2: Convert to fraction form
    348.01/521.75 = 142.63/x
  3. Step 3: Cross multiply
    348.01x = 521.75 × 142.63
  4. Step 4: Simplify right side
    348.01x = 74,416.49
  5. Step 5: Solve for x
    x = 74,416.49/348.01
  6. Step 6: Final answer
    x = 213.83

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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.