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Finding the Fourth Proportional to 375.17, 562.49 and 192.44

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Solution

The fourth proportional to 375.17, 562.49 and 192.44 is: 288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.17 : 562.49 = 192.44 : x
  2. Step 2: Convert to fraction form
    375.17/562.49 = 192.44/x
  3. Step 3: Cross multiply
    375.17x = 562.49 × 192.44
  4. Step 4: Simplify right side
    375.17x = 108,245.58
  5. Step 5: Solve for x
    x = 108,245.58/375.17
  6. Step 6: Final answer
    x = 288.52

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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.