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Finding the Fourth Proportional to 352.08, 528.27 and 146.69

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Solution

The fourth proportional to 352.08, 528.27 and 146.69 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.08 : 528.27 = 146.69 : x
  2. Step 2: Convert to fraction form
    352.08/528.27 = 146.69/x
  3. Step 3: Cross multiply
    352.08x = 528.27 × 146.69
  4. Step 4: Simplify right side
    352.08x = 77,489.28
  5. Step 5: Solve for x
    x = 77,489.28/352.08
  6. Step 6: Final answer
    x = 220.09

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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.