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Finding the Fourth Proportional to 348.62, 522.56 and 166.02

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Solution

The fourth proportional to 348.62, 522.56 and 166.02 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.62 : 522.56 = 166.02 : x
  2. Step 2: Convert to fraction form
    348.62/522.56 = 166.02/x
  3. Step 3: Cross multiply
    348.62x = 522.56 × 166.02
  4. Step 4: Simplify right side
    348.62x = 86,754.58
  5. Step 5: Solve for x
    x = 86,754.58/348.62
  6. Step 6: Final answer
    x = 248.85

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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.