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Finding the Fourth Proportional to 348.63, 522.94 and 120.63

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Solution

The fourth proportional to 348.63, 522.94 and 120.63 is: 180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.63 : 522.94 = 120.63 : x
  2. Step 2: Convert to fraction form
    348.63/522.94 = 120.63/x
  3. Step 3: Cross multiply
    348.63x = 522.94 × 120.63
  4. Step 4: Simplify right side
    348.63x = 63,079.64
  5. Step 5: Solve for x
    x = 63,079.64/348.63
  6. Step 6: Final answer
    x = 180.94

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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.