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Finding the Fourth Proportional to 202.04, 303.30 and 105.92

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Solution

The fourth proportional to 202.04, 303.30 and 105.92 is: 159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.04 : 303.30 = 105.92 : x
  2. Step 2: Convert to fraction form
    202.04/303.30 = 105.92/x
  3. Step 3: Cross multiply
    202.04x = 303.30 × 105.92
  4. Step 4: Simplify right side
    202.04x = 32,125.54
  5. Step 5: Solve for x
    x = 32,125.54/202.04
  6. Step 6: Final answer
    x = 159.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.