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Finding the Fourth Proportional to 348.41, 522.50 and 165.80

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Solution

The fourth proportional to 348.41, 522.50 and 165.80 is: 248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.41 : 522.50 = 165.80 : x
  2. Step 2: Convert to fraction form
    348.41/522.50 = 165.80/x
  3. Step 3: Cross multiply
    348.41x = 522.50 × 165.80
  4. Step 4: Simplify right side
    348.41x = 86,627.06
  5. Step 5: Solve for x
    x = 86,627.06/348.41
  6. Step 6: Final answer
    x = 248.64

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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.