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Finding the Fourth Proportional to 528.14, 792.31 and 181.39

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Solution

The fourth proportional to 528.14, 792.31 and 181.39 is: 272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 792.31 = 181.39 : x
  2. Step 2: Convert to fraction form
    528.14/792.31 = 181.39/x
  3. Step 3: Cross multiply
    528.14x = 792.31 × 181.39
  4. Step 4: Simplify right side
    528.14x = 143,713.69
  5. Step 5: Solve for x
    x = 143,713.69/528.14
  6. Step 6: Final answer
    x = 272.11

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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.