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Finding the Fourth Proportional to 348.90, 523.08 and 166.11

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Solution

The fourth proportional to 348.90, 523.08 and 166.11 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.90 : 523.08 = 166.11 : x
  2. Step 2: Convert to fraction form
    348.90/523.08 = 166.11/x
  3. Step 3: Cross multiply
    348.90x = 523.08 × 166.11
  4. Step 4: Simplify right side
    348.90x = 86,888.82
  5. Step 5: Solve for x
    x = 86,888.82/348.90
  6. Step 6: Final answer
    x = 249.04

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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.