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Finding the Fourth Proportional to 352.99, 529.49 and 96.49

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Solution

The fourth proportional to 352.99, 529.49 and 96.49 is: 144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.99 : 529.49 = 96.49 : x
  2. Step 2: Convert to fraction form
    352.99/529.49 = 96.49/x
  3. Step 3: Cross multiply
    352.99x = 529.49 × 96.49
  4. Step 4: Simplify right side
    352.99x = 51,087.36
  5. Step 5: Solve for x
    x = 51,087.36/352.99
  6. Step 6: Final answer
    x = 144.73

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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.