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Finding the Fourth Proportional to 353.32, 529.95 and 160.96

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Solution

The fourth proportional to 353.32, 529.95 and 160.96 is: 241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.32 : 529.95 = 160.96 : x
  2. Step 2: Convert to fraction form
    353.32/529.95 = 160.96/x
  3. Step 3: Cross multiply
    353.32x = 529.95 × 160.96
  4. Step 4: Simplify right side
    353.32x = 85,300.75
  5. Step 5: Solve for x
    x = 85,300.75/353.32
  6. Step 6: Final answer
    x = 241.43

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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.