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Finding the Fourth Proportional to 362.41, 543.22 and 179.93

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Solution

The fourth proportional to 362.41, 543.22 and 179.93 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.41 : 543.22 = 179.93 : x
  2. Step 2: Convert to fraction form
    362.41/543.22 = 179.93/x
  3. Step 3: Cross multiply
    362.41x = 543.22 × 179.93
  4. Step 4: Simplify right side
    362.41x = 97,742.48
  5. Step 5: Solve for x
    x = 97,742.48/362.41
  6. Step 6: Final answer
    x = 269.70

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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.