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Finding the Fourth Proportional to 203.41, 280.64 and 114.88

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Solution

The fourth proportional to 203.41, 280.64 and 114.88 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.41 : 280.64 = 114.88 : x
  2. Step 2: Convert to fraction form
    203.41/280.64 = 114.88/x
  3. Step 3: Cross multiply
    203.41x = 280.64 × 114.88
  4. Step 4: Simplify right side
    203.41x = 32,238.65
  5. Step 5: Solve for x
    x = 32,238.65/203.41
  6. Step 6: Final answer
    x = 158.49

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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.