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Finding the Fourth Proportional to 375.09, 562.74 and 131.62

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Solution

The fourth proportional to 375.09, 562.74 and 131.62 is: 197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.09 : 562.74 = 131.62 : x
  2. Step 2: Convert to fraction form
    375.09/562.74 = 131.62/x
  3. Step 3: Cross multiply
    375.09x = 562.74 × 131.62
  4. Step 4: Simplify right side
    375.09x = 74,067.84
  5. Step 5: Solve for x
    x = 74,067.84/375.09
  6. Step 6: Final answer
    x = 197.47

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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.