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Finding the Fourth Proportional to 352.70, 528.83 and 136.23

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Solution

The fourth proportional to 352.70, 528.83 and 136.23 is: 204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.70 : 528.83 = 136.23 : x
  2. Step 2: Convert to fraction form
    352.70/528.83 = 136.23/x
  3. Step 3: Cross multiply
    352.70x = 528.83 × 136.23
  4. Step 4: Simplify right side
    352.70x = 72,040.36
  5. Step 5: Solve for x
    x = 72,040.36/352.70
  6. Step 6: Final answer
    x = 204.25

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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.