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Finding the Fourth Proportional to 202.98, 280.08 and 115.68

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Solution

The fourth proportional to 202.98, 280.08 and 115.68 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 280.08 = 115.68 : x
  2. Step 2: Convert to fraction form
    202.98/280.08 = 115.68/x
  3. Step 3: Cross multiply
    202.98x = 280.08 × 115.68
  4. Step 4: Simplify right side
    202.98x = 32,399.65
  5. Step 5: Solve for x
    x = 32,399.65/202.98
  6. Step 6: Final answer
    x = 159.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.