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Finding the Fourth Proportional to 348.05, 522.06 and 165.33

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Solution

The fourth proportional to 348.05, 522.06 and 165.33 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.05 : 522.06 = 165.33 : x
  2. Step 2: Convert to fraction form
    348.05/522.06 = 165.33/x
  3. Step 3: Cross multiply
    348.05x = 522.06 × 165.33
  4. Step 4: Simplify right side
    348.05x = 86,312.18
  5. Step 5: Solve for x
    x = 86,312.18/348.05
  6. Step 6: Final answer
    x = 247.99

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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.