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Finding the Fourth Proportional to 375.26, 562.70 and 189.96

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Solution

The fourth proportional to 375.26, 562.70 and 189.96 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.26 : 562.70 = 189.96 : x
  2. Step 2: Convert to fraction form
    375.26/562.70 = 189.96/x
  3. Step 3: Cross multiply
    375.26x = 562.70 × 189.96
  4. Step 4: Simplify right side
    375.26x = 106,889.54
  5. Step 5: Solve for x
    x = 106,889.54/375.26
  6. Step 6: Final answer
    x = 284.85

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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.