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Finding the Fourth Proportional to 353.06, 529.68 and 147.54

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Solution

The fourth proportional to 353.06, 529.68 and 147.54 is: 221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.06 : 529.68 = 147.54 : x
  2. Step 2: Convert to fraction form
    353.06/529.68 = 147.54/x
  3. Step 3: Cross multiply
    353.06x = 529.68 × 147.54
  4. Step 4: Simplify right side
    353.06x = 78,148.99
  5. Step 5: Solve for x
    x = 78,148.99/353.06
  6. Step 6: Final answer
    x = 221.35

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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.