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Finding the Fourth Proportional to 348.83, 523.01 and 143.34

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Solution

The fourth proportional to 348.83, 523.01 and 143.34 is: 214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.83 : 523.01 = 143.34 : x
  2. Step 2: Convert to fraction form
    348.83/523.01 = 143.34/x
  3. Step 3: Cross multiply
    348.83x = 523.01 × 143.34
  4. Step 4: Simplify right side
    348.83x = 74,967.54
  5. Step 5: Solve for x
    x = 74,967.54/348.83
  6. Step 6: Final answer
    x = 214.91

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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.