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Finding the Fourth Proportional to 202.08, 303.32 and 105.96

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Solution

The fourth proportional to 202.08, 303.32 and 105.96 is: 159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 303.32 = 105.96 : x
  2. Step 2: Convert to fraction form
    202.08/303.32 = 105.96/x
  3. Step 3: Cross multiply
    202.08x = 303.32 × 105.96
  4. Step 4: Simplify right side
    202.08x = 32,139.79
  5. Step 5: Solve for x
    x = 32,139.79/202.08
  6. Step 6: Final answer
    x = 159.04

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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.