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Finding the Fourth Proportional to 528.25, 792.24 and 157.97

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Solution

The fourth proportional to 528.25, 792.24 and 157.97 is: 236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.25 : 792.24 = 157.97 : x
  2. Step 2: Convert to fraction form
    528.25/792.24 = 157.97/x
  3. Step 3: Cross multiply
    528.25x = 792.24 × 157.97
  4. Step 4: Simplify right side
    528.25x = 125,146.79
  5. Step 5: Solve for x
    x = 125,146.79/528.25
  6. Step 6: Final answer
    x = 236.91

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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.