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Finding the Fourth Proportional to 238.10, 328.37 and 203.26

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Solution

The fourth proportional to 238.10, 328.37 and 203.26 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.10 : 328.37 = 203.26 : x
  2. Step 2: Convert to fraction form
    238.10/328.37 = 203.26/x
  3. Step 3: Cross multiply
    238.10x = 328.37 × 203.26
  4. Step 4: Simplify right side
    238.10x = 66,741.83
  5. Step 5: Solve for x
    x = 66,741.83/238.10
  6. Step 6: Final answer
    x = 280.31

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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.