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Finding the Fourth Proportional to 351.41, 527.07 and 186.82

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Solution

The fourth proportional to 351.41, 527.07 and 186.82 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.41 : 527.07 = 186.82 : x
  2. Step 2: Convert to fraction form
    351.41/527.07 = 186.82/x
  3. Step 3: Cross multiply
    351.41x = 527.07 × 186.82
  4. Step 4: Simplify right side
    351.41x = 98,467.22
  5. Step 5: Solve for x
    x = 98,467.22/351.41
  6. Step 6: Final answer
    x = 280.21

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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.