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Finding the Fourth Proportional to 357.44, 536.24 and 123.20

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Solution

The fourth proportional to 357.44, 536.24 and 123.20 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.44 : 536.24 = 123.20 : x
  2. Step 2: Convert to fraction form
    357.44/536.24 = 123.20/x
  3. Step 3: Cross multiply
    357.44x = 536.24 × 123.20
  4. Step 4: Simplify right side
    357.44x = 66,065.87
  5. Step 5: Solve for x
    x = 66,065.87/357.44
  6. Step 6: Final answer
    x = 184.83

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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.