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Finding the Fourth Proportional to 362.39, 543.26 and 157.12

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Solution

The fourth proportional to 362.39, 543.26 and 157.12 is: 235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.39 : 543.26 = 157.12 : x
  2. Step 2: Convert to fraction form
    362.39/543.26 = 157.12/x
  3. Step 3: Cross multiply
    362.39x = 543.26 × 157.12
  4. Step 4: Simplify right side
    362.39x = 85,356.05
  5. Step 5: Solve for x
    x = 85,356.05/362.39
  6. Step 6: Final answer
    x = 235.54

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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.