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Finding the Fourth Proportional to 348.63, 521.87 and 192.06

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Solution

The fourth proportional to 348.63, 521.87 and 192.06 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.63 : 521.87 = 192.06 : x
  2. Step 2: Convert to fraction form
    348.63/521.87 = 192.06/x
  3. Step 3: Cross multiply
    348.63x = 521.87 × 192.06
  4. Step 4: Simplify right side
    348.63x = 100,230.35
  5. Step 5: Solve for x
    x = 100,230.35/348.63
  6. Step 6: Final answer
    x = 287.50

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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.