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Finding the Fourth Proportional to 362.42, 543.80 and 115.67

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Solution

The fourth proportional to 362.42, 543.80 and 115.67 is: 173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.42 : 543.80 = 115.67 : x
  2. Step 2: Convert to fraction form
    362.42/543.80 = 115.67/x
  3. Step 3: Cross multiply
    362.42x = 543.80 × 115.67
  4. Step 4: Simplify right side
    362.42x = 62,901.35
  5. Step 5: Solve for x
    x = 62,901.35/362.42
  6. Step 6: Final answer
    x = 173.56

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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.