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Finding the Fourth Proportional to 193.28, 289.28 and 181.12

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Solution

The fourth proportional to 193.28, 289.28 and 181.12 is: 271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.28 : 289.28 = 181.12 : x
  2. Step 2: Convert to fraction form
    193.28/289.28 = 181.12/x
  3. Step 3: Cross multiply
    193.28x = 289.28 × 181.12
  4. Step 4: Simplify right side
    193.28x = 52,394.39
  5. Step 5: Solve for x
    x = 52,394.39/193.28
  6. Step 6: Final answer
    x = 271.08

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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.