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Finding the Fourth Proportional to 357.82, 536.31 and 165.22

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Solution

The fourth proportional to 357.82, 536.31 and 165.22 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 536.31 = 165.22 : x
  2. Step 2: Convert to fraction form
    357.82/536.31 = 165.22/x
  3. Step 3: Cross multiply
    357.82x = 536.31 × 165.22
  4. Step 4: Simplify right side
    357.82x = 88,609.14
  5. Step 5: Solve for x
    x = 88,609.14/357.82
  6. Step 6: Final answer
    x = 247.64

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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.