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Finding the Fourth Proportional to 202.65, 303.84 and 72.59

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Solution

The fourth proportional to 202.65, 303.84 and 72.59 is: 108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.65 : 303.84 = 72.59 : x
  2. Step 2: Convert to fraction form
    202.65/303.84 = 72.59/x
  3. Step 3: Cross multiply
    202.65x = 303.84 × 72.59
  4. Step 4: Simplify right side
    202.65x = 22,054.23
  5. Step 5: Solve for x
    x = 22,054.23/202.65
  6. Step 6: Final answer
    x = 108.83

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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.