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Finding the Fourth Proportional to 357.66, 536.22 and 174.96

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Solution

The fourth proportional to 357.66, 536.22 and 174.96 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.66 : 536.22 = 174.96 : x
  2. Step 2: Convert to fraction form
    357.66/536.22 = 174.96/x
  3. Step 3: Cross multiply
    357.66x = 536.22 × 174.96
  4. Step 4: Simplify right side
    357.66x = 93,817.05
  5. Step 5: Solve for x
    x = 93,817.05/357.66
  6. Step 6: Final answer
    x = 262.31

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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.