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Finding the Fourth Proportional to 352.78, 528.72 and 170.08

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Solution

The fourth proportional to 352.78, 528.72 and 170.08 is: 254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.78 : 528.72 = 170.08 : x
  2. Step 2: Convert to fraction form
    352.78/528.72 = 170.08/x
  3. Step 3: Cross multiply
    352.78x = 528.72 × 170.08
  4. Step 4: Simplify right side
    352.78x = 89,924.70
  5. Step 5: Solve for x
    x = 89,924.70/352.78
  6. Step 6: Final answer
    x = 254.90

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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.