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Finding the Fourth Proportional to 528.68, 792.96 and 182.00

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Solution

The fourth proportional to 528.68, 792.96 and 182.00 is: 272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.68 : 792.96 = 182.00 : x
  2. Step 2: Convert to fraction form
    528.68/792.96 = 182.00/x
  3. Step 3: Cross multiply
    528.68x = 792.96 × 182.00
  4. Step 4: Simplify right side
    528.68x = 144,315.56
  5. Step 5: Solve for x
    x = 144,315.56/528.68
  6. Step 6: Final answer
    x = 272.97

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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.