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Finding the Fourth Proportional to 353.09, 529.74 and 147.69

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Solution

The fourth proportional to 353.09, 529.74 and 147.69 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.09 : 529.74 = 147.69 : x
  2. Step 2: Convert to fraction form
    353.09/529.74 = 147.69/x
  3. Step 3: Cross multiply
    353.09x = 529.74 × 147.69
  4. Step 4: Simplify right side
    353.09x = 78,237.30
  5. Step 5: Solve for x
    x = 78,237.30/353.09
  6. Step 6: Final answer
    x = 221.58

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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.