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Finding the Fourth Proportional to 348.33, 522.45 and 165.45

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Solution

The fourth proportional to 348.33, 522.45 and 165.45 is: 248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.33 : 522.45 = 165.45 : x
  2. Step 2: Convert to fraction form
    348.33/522.45 = 165.45/x
  3. Step 3: Cross multiply
    348.33x = 522.45 × 165.45
  4. Step 4: Simplify right side
    348.33x = 86,439.35
  5. Step 5: Solve for x
    x = 86,439.35/348.33
  6. Step 6: Final answer
    x = 248.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.