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Finding the Fourth Proportional to 362.16, 543.16 and 130.96

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Solution

The fourth proportional to 362.16, 543.16 and 130.96 is: 196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 543.16 = 130.96 : x
  2. Step 2: Convert to fraction form
    362.16/543.16 = 130.96/x
  3. Step 3: Cross multiply
    362.16x = 543.16 × 130.96
  4. Step 4: Simplify right side
    362.16x = 71,132.23
  5. Step 5: Solve for x
    x = 71,132.23/362.16
  6. Step 6: Final answer
    x = 196.41

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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.