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Finding the Fourth Proportional to 348.19, 522.52 and 120.19

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Solution

The fourth proportional to 348.19, 522.52 and 120.19 is: 180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.19 : 522.52 = 120.19 : x
  2. Step 2: Convert to fraction form
    348.19/522.52 = 120.19/x
  3. Step 3: Cross multiply
    348.19x = 522.52 × 120.19
  4. Step 4: Simplify right side
    348.19x = 62,800.52
  5. Step 5: Solve for x
    x = 62,800.52/348.19
  6. Step 6: Final answer
    x = 180.36

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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.