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Finding the Fourth Proportional to 352.84, 529 and 170.06

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Solution

The fourth proportional to 352.84, 529 and 170.06 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.84 : 529 = 170.06 : x
  2. Step 2: Convert to fraction form
    352.84/529 = 170.06/x
  3. Step 3: Cross multiply
    352.84x = 529 × 170.06
  4. Step 4: Simplify right side
    352.84x = 89,961.74
  5. Step 5: Solve for x
    x = 89,961.74/352.84
  6. Step 6: Final answer
    x = 254.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.