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Finding the Fourth Proportional to 348.93, 522.69 and 165.77

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Solution

The fourth proportional to 348.93, 522.69 and 165.77 is: 248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.93 : 522.69 = 165.77 : x
  2. Step 2: Convert to fraction form
    348.93/522.69 = 165.77/x
  3. Step 3: Cross multiply
    348.93x = 522.69 × 165.77
  4. Step 4: Simplify right side
    348.93x = 86,645.05
  5. Step 5: Solve for x
    x = 86,645.05/348.93
  6. Step 6: Final answer
    x = 248.32

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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.