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Finding the Fourth Proportional to 242.28, 362.82 and 181.80

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Solution

The fourth proportional to 242.28, 362.82 and 181.80 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 362.82 = 181.80 : x
  2. Step 2: Convert to fraction form
    242.28/362.82 = 181.80/x
  3. Step 3: Cross multiply
    242.28x = 362.82 × 181.80
  4. Step 4: Simplify right side
    242.28x = 65,960.68
  5. Step 5: Solve for x
    x = 65,960.68/242.28
  6. Step 6: Final answer
    x = 272.25

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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.