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Finding the Fourth Proportional to 352.80, 528.82 and 170.08

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Solution

The fourth proportional to 352.80, 528.82 and 170.08 is: 254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.80 : 528.82 = 170.08 : x
  2. Step 2: Convert to fraction form
    352.80/528.82 = 170.08/x
  3. Step 3: Cross multiply
    352.80x = 528.82 × 170.08
  4. Step 4: Simplify right side
    352.80x = 89,941.71
  5. Step 5: Solve for x
    x = 89,941.71/352.80
  6. Step 6: Final answer
    x = 254.94

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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.