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Finding the Fourth Proportional to 348.52, 522.36 and 165.88

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Solution

The fourth proportional to 348.52, 522.36 and 165.88 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.52 : 522.36 = 165.88 : x
  2. Step 2: Convert to fraction form
    348.52/522.36 = 165.88/x
  3. Step 3: Cross multiply
    348.52x = 522.36 × 165.88
  4. Step 4: Simplify right side
    348.52x = 86,649.08
  5. Step 5: Solve for x
    x = 86,649.08/348.52
  6. Step 6: Final answer
    x = 248.62

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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.