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Finding the Fourth Proportional to 352.27, 528.51 and 146.99

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Solution

The fourth proportional to 352.27, 528.51 and 146.99 is: 220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.27 : 528.51 = 146.99 : x
  2. Step 2: Convert to fraction form
    352.27/528.51 = 146.99/x
  3. Step 3: Cross multiply
    352.27x = 528.51 × 146.99
  4. Step 4: Simplify right side
    352.27x = 77,685.68
  5. Step 5: Solve for x
    x = 77,685.68/352.27
  6. Step 6: Final answer
    x = 220.53

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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.